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A Jensen-type variant of Dhombres' functional equation and its superstability Dhombres泛函方程的jensen型变体及其超稳定性
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-22 DOI: 10.1016/j.jmaa.2026.130457
Abbas Najati, Mohammad Amin Tareeghee
{"title":"A Jensen-type variant of Dhombres' functional equation and its superstability","authors":"Abbas Najati,&nbsp;Mohammad Amin Tareeghee","doi":"10.1016/j.jmaa.2026.130457","DOIUrl":"10.1016/j.jmaa.2026.130457","url":null,"abstract":"<div><div>In this paper, we investigate a Jensen-type version of Dhombres' functional equation, namely<span><span><span><math><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>≠</mo><mn>0</mn><mo>⇒</mo><mn>2</mn><mi>f</mi><mrow><mo>(</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mi>y</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo>)</mo></mrow><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>+</mo><mi>f</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>,</mo><mspace></mspace><mi>x</mi><mo>,</mo><mi>y</mi><mo>∈</mo><mi>G</mi></math></span></span></span> for functions <span><math><mi>f</mi><mo>:</mo><mi>G</mi><mo>→</mo><mi>V</mi></math></span>, where <span><math><mo>(</mo><mi>G</mi><mo>,</mo><mo>+</mo><mo>)</mo></math></span> and <span><math><mo>(</mo><mi>V</mi><mo>,</mo><mo>+</mo><mo>)</mo></math></span> are uniquely 2-divisible abelian groups. We also investigate the superstability behavior of this functional equation.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130457"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the generalized Holland-Walsh-Zhao characterization of Bloch-type spaces Bloch-type空间的广义Holland-Walsh-Zhao刻划
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-08 DOI: 10.1016/j.jmaa.2026.130406
Xiong Lin, Jianfei Wang
{"title":"On the generalized Holland-Walsh-Zhao characterization of Bloch-type spaces","authors":"Xiong Lin,&nbsp;Jianfei Wang","doi":"10.1016/j.jmaa.2026.130406","DOIUrl":"10.1016/j.jmaa.2026.130406","url":null,"abstract":"<div><div>We establish the Holland-Walsh-Zhao characterization of Bloch-type spaces defined on a general convex domain in one and higher dimensions, respectively. Firstly, by using the concavity with hyperbolic metric on a plane convex domain, we extend the Holland-Walsh-Zhao criterium for the membership of Bloch-type spaces from the unit disk to the plane convex domain. Secondly, we generalize the higher dimensional Holland-Walsh-Zhao characterization of the weighted Bloch-type spaces with some concavity weight. Thirdly, a new characterization of Bloch space of the unit ball in <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> is obtained by proving certain estimates of Kobayashi distance of the unit ball, which improves the Nowak and Ren-Tu characterization of Bloch space. Finally, we apply the Holland-Walsh characterization to prove that the Roper-Suffridge extension operator preserves Bloch property, which generalizes many well-known results.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130406"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and multiplicity of positive solutions for an indefinite nonlinear Schrödinger system in RN RN中不定非线性Schrödinger系统正解的存在性与多重性
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-13 DOI: 10.1016/j.jmaa.2026.130407
Han-Su Zhang, Biyue Chen, Renxiang Shi
{"title":"Existence and multiplicity of positive solutions for an indefinite nonlinear Schrödinger system in RN","authors":"Han-Su Zhang,&nbsp;Biyue Chen,&nbsp;Renxiang Shi","doi":"10.1016/j.jmaa.2026.130407","DOIUrl":"10.1016/j.jmaa.2026.130407","url":null,"abstract":"<div><div>In this paper we investigate an indefinite nonlinear Schrödinger system with steep potential well in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></math></span>. By exploiting the relationship between the Nehari manifold and fibering maps, we reveal how the Nehari manifold changes as the two parameters vary, and eventually establish the existence and multiplicity of positive solutions.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130407"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A modular framework for generalized Hurwitz class numbers III 广义Hurwitz类数的模框架III
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-09 DOI: 10.1016/j.jmaa.2026.130398
Andreas Mono
{"title":"A modular framework for generalized Hurwitz class numbers III","authors":"Andreas Mono","doi":"10.1016/j.jmaa.2026.130398","DOIUrl":"10.1016/j.jmaa.2026.130398","url":null,"abstract":"<div><div>In 2003, Pei and Wang introduced higher level analogs of the classical Cohen–Eisenstein series. In recent joint work with Beckwith, we found a weight <span><math><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> sesquiharmonic preimage of their weight <span><math><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> Eisenstein series under <span><math><msub><mrow><mi>ξ</mi></mrow><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac></mrow></msub></math></span> utilizing a construction from seminal work by Duke, Imamoḡlu and Tóth. In further joint work with Beckwith, when restricting to prime level, we realized our preimage as a regularized Siegel theta lift and evaluated its (regularized) Fourier coefficients explicitly. This relied crucially on work by Bruinier, Funke and Imamoḡlu. In this paper, we extend both works to higher weights. That is, we provide a harmonic preimage of Pei and Wang's generalized Cohen–Eisenstein series under <span><math><msub><mrow><mi>ξ</mi></mrow><mrow><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>−</mo><mi>k</mi></mrow></msub></math></span>, where <span><math><mi>k</mi><mo>&gt;</mo><mn>1</mn></math></span>. Furthermore, when restricting to prime level, we realize them as outputs of a regularized Shintani theta lift of a higher level holomorphic Eisenstein series, which builds on recent work by Alfes and Schwagenscheidt. Lastly, we evaluate the regularized Millson theta lift of a higher level Maass–Eisenstein series, which is known to be connected to the Shintani theta lift by a differential equation by earlier work of Alfes and Schwagenscheidt.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130398"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Energy decay for a viscoelastic wave equation with supercritical source and localized history memory 具有超临界源和局域历史记忆的粘弹性波动方程的能量衰减
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-14 DOI: 10.1016/j.jmaa.2026.130419
Haiyan Li , Marcelo M. Cavalcanti , Valeria N. Domingos Cavalcanti , Baowei Feng
{"title":"Energy decay for a viscoelastic wave equation with supercritical source and localized history memory","authors":"Haiyan Li ,&nbsp;Marcelo M. Cavalcanti ,&nbsp;Valeria N. Domingos Cavalcanti ,&nbsp;Baowei Feng","doi":"10.1016/j.jmaa.2026.130419","DOIUrl":"10.1016/j.jmaa.2026.130419","url":null,"abstract":"<div><div>In this article, a nonlinearly damped viscoelastic wave equation with supercritical source term and localized history memory is considered. We establish an exponential and a logarithmic energy decay rates of solutions, which are dependent on the behavior of the damping term. By using the property of a closed set of stable set for potential well, we derive the estimate which does not generate lower-order term. The standard lengthy compactness-uniqueness argument is completely avoided. Hence our proof is more concise and shorter. We also remove some strong conditions on initial data in previous result to obtain a weaker energy decay. In particular, we give a logarithmic decay rate under the weak additional assumption on initial data.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130419"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invasion speeds and traveling waves for a pioneer-climax plant population model with a seed bank 具有种子库的先锋-顶极植物种群模型的入侵速度和行波
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-14 DOI: 10.1016/j.jmaa.2026.130420
Yafei Wen, Yuxiang Zhang
{"title":"Invasion speeds and traveling waves for a pioneer-climax plant population model with a seed bank","authors":"Yafei Wen,&nbsp;Yuxiang Zhang","doi":"10.1016/j.jmaa.2026.130420","DOIUrl":"10.1016/j.jmaa.2026.130420","url":null,"abstract":"<div><div>We propose a system of integrodifference equations to describe the interaction between pioneer and climax plant species with a seed bank. The invasion of the climax species is investigated by studying the existence of invasion spreading speeds and traveling waves. The recursion operator of the system is noncompact and nonmonotone, which makes the study of the existence of traveling wave solutions nontrivial. Another challenge is the estimation of invasion spreading speeds, which cannot be computed directly by the linearization method for monotone dynamical systems. We figure out a range of parameters, in which the existence of spreading speeds and their coincidence with the minimum wave speeds of traveling waves are established. By constructing suitable upper solutions, we present appropriate conditions under which the invasion spreading speed is linearly selected. We analytically confirm that the spreading speed of the invading species is strictly decreasing with respect to the fraction of non-germinating seeds in the seed bank.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130420"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Gevrey class of the Euler-Bernoulli beam model with singularities 具有奇异点的Euler-Bernoulli梁模型的Gevrey类
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-13 DOI: 10.1016/j.jmaa.2026.130412
Jaime E. Muñoz Rivera , Maria Grazia Naso , Bruna T. Silva Sozzo
{"title":"The Gevrey class of the Euler-Bernoulli beam model with singularities","authors":"Jaime E. Muñoz Rivera ,&nbsp;Maria Grazia Naso ,&nbsp;Bruna T. Silva Sozzo","doi":"10.1016/j.jmaa.2026.130412","DOIUrl":"10.1016/j.jmaa.2026.130412","url":null,"abstract":"<div><div>We study the Euler-Bernoulli beam model with singularities at the points <span><math><mi>x</mi><mo>=</mo><msub><mrow><mi>ξ</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>, <span><math><mi>x</mi><mo>=</mo><msub><mrow><mi>ξ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and with localized viscoelastic dissipation of Kelvin-Voigt type. We assume that the beam is composed by two materials; one is an elastic material and the other one is a viscoelastic material of Kelvin-Voigt type.</div><div>Our main result is that the corresponding semigroup is immediately differentiable and also of Gevrey class 4. In particular, our result implies that the model is exponentially stable, has the linear stability property, and the smoothing effect property over the initial data.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130412"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145981213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak type (1,1) bounds for singular integrals with rough kernels on block spaces 块空间上粗糙核奇异积分的弱类型（1,1）界
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-07-01 Epub Date: 2026-01-20 DOI: 10.1016/j.jmaa.2026.130447
Yanping Chen , Teng Wang , Huoxiong Wu
{"title":"Weak type (1,1) bounds for singular integrals with rough kernels on block spaces","authors":"Yanping Chen ,&nbsp;Teng Wang ,&nbsp;Huoxiong Wu","doi":"10.1016/j.jmaa.2026.130447","DOIUrl":"10.1016/j.jmaa.2026.130447","url":null,"abstract":"<div><div>Let <span><math><mi>Ω</mi><mo>∈</mo><msup><mrow><mi>L</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>(</mo><msup><mrow><mi>S</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></math></span> be a homogeneous function of degree zero and have mean value zero. Consider the rough singular integral<span><span><span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>Ω</mi></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mrow><mi>p</mi><mo>.</mo><mi>v</mi><mo>.</mo></mrow><munder><mo>∫</mo><mrow><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></munder><mfrac><mrow><mi>Ω</mi><mo>(</mo><mi>x</mi><mo>−</mo><mi>y</mi><mo>)</mo></mrow><mrow><mo>|</mo><mi>x</mi><mo>−</mo><mi>y</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>n</mi></mrow></msup></mrow></mfrac><mi>f</mi><mo>(</mo><mi>y</mi><mo>)</mo><mi>d</mi><mi>y</mi><mo>.</mo></math></span></span></span> We prove that <span><math><msub><mrow><mi>T</mi></mrow><mrow><mi>Ω</mi></mrow></msub></math></span> is of weak type <span><math><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> if the rough kernel function Ω belongs to the block space <span><math><msubsup><mrow><mi>B</mi></mrow><mrow><mi>q</mi></mrow><mrow><mn>0</mn><mo>,</mo><mn>0</mn></mrow></msubsup><mo>(</mo><msup><mrow><mi>S</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></math></span> for some <span><math><mi>q</mi><mo>&gt;</mo><mn>1</mn></math></span>. This result substantially extends a classical theorem of Seeger (1996) <span><span>[19]</span></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"559 1","pages":"Article 130447"},"PeriodicalIF":1.2,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024431","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotics of the spectral data of perturbed Stark operators on the half-line with mixed boundary conditions 混合边界条件下半线上摄动Stark算子谱数据的渐近性
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-06-15 Epub Date: 2026-01-06 DOI: 10.1016/j.jmaa.2025.130383
Julio H. Toloza , Alfredo Uribe
{"title":"Asymptotics of the spectral data of perturbed Stark operators on the half-line with mixed boundary conditions","authors":"Julio H. Toloza ,&nbsp;Alfredo Uribe","doi":"10.1016/j.jmaa.2025.130383","DOIUrl":"10.1016/j.jmaa.2025.130383","url":null,"abstract":"<div><div>We obtain sharp asymptotic formulas for the eigenvalues and norming constants of Sturm-Liouville operators associated with the differential expression<span><span><span><math><mo>−</mo><mfrac><mrow><msup><mrow><mi>d</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mi>d</mi><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>+</mo><mi>x</mi><mo>+</mo><mi>q</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mspace></mspace><mi>x</mi><mo>∈</mo><mo>[</mo><mn>0</mn><mo>,</mo><mo>∞</mo><mo>)</mo><mo>,</mo></math></span></span></span> together with the boundary condition <span><math><msup><mrow><mi>φ</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mn>0</mn><mo>)</mo><mo>−</mo><mi>b</mi><mi>φ</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>=</mo><mn>0</mn></math></span>, <span><math><mi>b</mi><mo>∈</mo><mi>R</mi></math></span>, where<span><span><span><math><mi>q</mi><mo>∈</mo><mrow><mo>{</mo><mi>p</mi><mo>∈</mo><msubsup><mrow><mi>L</mi></mrow><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>(</mo><msub><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>,</mo><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>x</mi><mo>)</mo></mrow><mrow><mi>r</mi></mrow></msup><mi>d</mi><mi>x</mi><mo>)</mo><mo>:</mo><msup><mrow><mi>p</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>∈</mo><msubsup><mrow><mi>L</mi></mrow><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msubsup><mo>(</mo><msub><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>,</mo><msup><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mi>x</mi><mo>)</mo></mrow><mrow><mi>r</mi></mrow></msup><mi>d</mi><mi>x</mi><mo>)</mo><mo>}</mo></mrow></math></span></span></span> and <span><math><mi>r</mi><mo>&gt;</mo><mn>1</mn></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"558 2","pages":"Article 130383"},"PeriodicalIF":1.2,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of operator splitting methods for the dispersive-Fisher equation 色散- fisher方程算子分裂方法分析
IF 1.2 3区 数学
Journal of Mathematical Analysis and Applications Pub Date : 2026-06-15 Epub Date: 2026-01-05 DOI: 10.1016/j.jmaa.2025.130382
Fatma Zürnacı-Yetiş , Muaz Seydaoğlu
{"title":"Analysis of operator splitting methods for the dispersive-Fisher equation","authors":"Fatma Zürnacı-Yetiş ,&nbsp;Muaz Seydaoğlu","doi":"10.1016/j.jmaa.2025.130382","DOIUrl":"10.1016/j.jmaa.2025.130382","url":null,"abstract":"<div><div>Operator splitting is a powerful method for the numerical investigation of complicated problems. The basic idea behind operator splitting methods is to split a problem into simpler sub-problems. This study focuses on analyzing the convergence of operator splitting methods applied to the dispersive-Fisher equation. The equation is initially split into unbounded linear and bounded nonlinear components. Operator splitting techniques of the Lie-Trotter and Strang types are then applied to the equation. Local error bounds are derived using an approach based on the differential theory of operators in Banach space and the error terms of one- and two-dimensional numerical quadratures using Lie commutator bounds. Global error estimates are derived using Lady Windermere's fan argument. Finally, a numerical example is examined to confirm the expected rate of convergence.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"558 2","pages":"Article 130382"},"PeriodicalIF":1.2,"publicationDate":"2026-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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