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On almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifold 实数双曲流形上抛物-椭圆Keller-Segel系统的概周期解
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-22 DOI: 10.1007/s13324-025-01073-7
Tran Van Thuy
{"title":"On almost periodic solutions of the parabolic-elliptic Keller-Segel system on real hyperbolic manifold","authors":"Tran Van Thuy","doi":"10.1007/s13324-025-01073-7","DOIUrl":"10.1007/s13324-025-01073-7","url":null,"abstract":"<div><p>In this work, we will study the existence, uniqueness and exponential stability of almost periodic solutions to the parabolic-elliptic Keller-Segel system on a real hyperbolic manifold. We clarify the existence and uniqueness of such solutions of the linear equation by utilizing the dispersive and smoothing estimates of the heat semigroup. Thereafter, we use the fixed point arguments to investigate for the case of the semi-linear equation by utilizing the results of the linear case. Finally, we invoke the Gronwall’s inequality to point out the exponential stability.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117721","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
Compactness of commutators in Morrey spaces Morrey空间中换向子的紧性
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-22 DOI: 10.1007/s13324-025-01072-8
Denny Ivanal Hakim, Yoshihiro Sawano, Daiki Takesako
{"title":"Compactness of commutators in Morrey spaces","authors":"Denny Ivanal Hakim,&nbsp;Yoshihiro Sawano,&nbsp;Daiki Takesako","doi":"10.1007/s13324-025-01072-8","DOIUrl":"10.1007/s13324-025-01072-8","url":null,"abstract":"<div><p>The goal of this paper is to refine the known Morrey-compactness result of commutators generated by <span>(textrm{VMO})</span> functions and singular integral operators using closed subspaces of Morrey spaces. It turns out that such commutators map Morrey spaces into a different layer; specifically, compact commutators map Morrey spaces to their tilde-closed subspaces.\u0000</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108627","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
Inverting covariant exterior derivative 逆协变外导数
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s13324-025-01085-3
Radosław Antoni Kycia, Josef Šilhan
{"title":"Inverting covariant exterior derivative","authors":"Radosław Antoni Kycia,&nbsp;Josef Šilhan","doi":"10.1007/s13324-025-01085-3","DOIUrl":"10.1007/s13324-025-01085-3","url":null,"abstract":"<div><p>The algorithm for inverting covariant exterior derivative is provided. It works for a sufficiently small star-shaped region of a fibered set - a local subset of a vector bundle and associated vector bundle. The algorithm contains some constraints that can fail, giving no solution, which is the expected case for parallel transport equations. These constraints are straightforward to obtain in the proposed approach. The relation to operational calculus and operator theory is outlined. The upshot of this paper is to show, using the linear homotopy operator of the Poincare lemma, that we can solve the covariant constant and related equations in a geometric and algorithmic way. The considerations related to the regularity of the solutions are provided.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01085-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Higher-order rogue waves and exotic dynamic patterns in the three-component local and nonlocal Gross-Pitaevskii equations 三分量局部和非局部Gross-Pitaevskii方程中的高阶异常波和奇异动力模式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s13324-025-01080-8
Xiu-Bin Wang, Shou-Fu Tian, Wei-Qi Peng
{"title":"Higher-order rogue waves and exotic dynamic patterns in the three-component local and nonlocal Gross-Pitaevskii equations","authors":"Xiu-Bin Wang,&nbsp;Shou-Fu Tian,&nbsp;Wei-Qi Peng","doi":"10.1007/s13324-025-01080-8","DOIUrl":"10.1007/s13324-025-01080-8","url":null,"abstract":"<div><p>In this work, higher-order rogue wave solutions in the three-component local and nonlocal Gross-Pitaevskii equations are investigated. The first-order rogue wave solution for the three-component local and nonlocal Gross-Pitaevskii equations is derived using the Darboux transformation combined with a variable separation technique. In order to efficiently construct higher-order rogue wave solutions for the three-component local and nonlocal Gross-Pitaevskii equations, we establish a relationship between the three-component and the one-component versions of the nonlinear Schrödinger equation. Then using this relationship, we obtain the higher-order rational solutions for the three-component local and nonlocal Gross-Pitaevskii equations, which describe the rogue wave patterns. Moreover, the main characteristics of these rogue waves are graphically examined by varying the free parameters. In particular, these results show that rogue waves in the three-component nonlocal Gross-Pitaevskii equations may exhibit a much richer variety than those in the corresponding local equations.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108462","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
Cosmological time functions in Lorentzian length spaces 洛伦兹长度空间中的宇宙学时间函数
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-21 DOI: 10.1007/s13324-025-01079-1
Mahla Hoseini, Neda Ebrahimi, Mehdi Vatandoost
{"title":"Cosmological time functions in Lorentzian length spaces","authors":"Mahla Hoseini,&nbsp;Neda Ebrahimi,&nbsp;Mehdi Vatandoost","doi":"10.1007/s13324-025-01079-1","DOIUrl":"10.1007/s13324-025-01079-1","url":null,"abstract":"<div><p>In this paper, we define the concept of a cosmological time function on Lorentzian length spaces. We prove that a Lorentzian length space is globally hyperbolic if and only if the cosmological time function of a Lorentzian length space within its conformal class is regular. Additionally, we establish an ordering in the space of Lorentzian length spaces on a proper metric space and investigate stable causality in its fundamental form. Furthermore, we show that this definition of stable causality implies the existence of a time function inspired by the cosmological time function.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100150","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
Non-linear resolvents of holomorphically accretive mappings 全纯增生映射的非线性解
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-19 DOI: 10.1007/s13324-025-01082-6
Mark Elin
{"title":"Non-linear resolvents of holomorphically accretive mappings","authors":"Mark Elin","doi":"10.1007/s13324-025-01082-6","DOIUrl":"10.1007/s13324-025-01082-6","url":null,"abstract":"<div><p>In this paper, we present new results on holomorphically accretive mappings and their resolvents defined on the open unit ball of a complex Banach space. We employ a unified approach to examine various properties of non-linear resolvents by applying a distortion theorem we have established. This method enables us to prove a covering result and to establish the accretivity of resolvents along with estimates of the squeezing ratio. Furthermore, we prove that under certain mild conditions, a non-linear resolvent is a starlike mapping of a specified order. As a key tool, we first introduce a refined version of the inverse function theorem for mappings satisfying so-called one-sided estimates.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13324-025-01082-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings 涉及施瓦茨映射的玻尔不等式精细化版本的多维类似物
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-19 DOI: 10.1007/s13324-025-01084-4
Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy
{"title":"Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings","authors":"Shanshan Jia,&nbsp;Ming-Sheng Liu,&nbsp;Saminathan Ponnusamy","doi":"10.1007/s13324-025-01084-4","DOIUrl":"10.1007/s13324-025-01084-4","url":null,"abstract":"<div><p>Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondly, we obtain several new multidimensional analogues of the refined Bohr inequalities for bounded holomorphic mappings on the unit ball in a complex Banach space involving higher dimensional Schwarz mappings. All the results are proved to be sharp.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090944","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
Sharp strong convergence result of the two-dimensional Walsh-Fourier series in martingale Hardy spaces 鞅Hardy空间中二维Walsh-Fourier级数的尖锐强收敛结果
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-19 DOI: 10.1007/s13324-025-01087-1
G. Tephnadze
{"title":"Sharp strong convergence result of the two-dimensional Walsh-Fourier series in martingale Hardy spaces","authors":"G. Tephnadze","doi":"10.1007/s13324-025-01087-1","DOIUrl":"10.1007/s13324-025-01087-1","url":null,"abstract":"<div><p>In [55] Weisz investigated strong convergence of partial sums <span>(S_{m,n})</span> of the two-dimensional Walsh-Fourier series in the martingale Hardy spaces, but under the condition when <span>(2^{-alpha }&lt;m/nle 2^{alpha })</span>. In this paper we investigate strong convergence of the two-dimensional Walsh-Fourier series in the martingale Hardy spaces <span>({H_p^{square }left( G^2right) })</span> for <span>(0&lt;p&lt;1,)</span> without any restriction on the indices. Moreover, we also prove sharpness of our result.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090945","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
Continuous form of the Opial-type inequalities for the Riemann-Liouville fractional derivatives involving two functions 涉及两个函数的Riemann-Liouville分数阶导数的opial型不等式的连续形式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-18 DOI: 10.1007/s13324-025-01086-2
Ludmila Nikolova, Sanja Varošanec
{"title":"Continuous form of the Opial-type inequalities for the Riemann-Liouville fractional derivatives involving two functions","authors":"Ludmila Nikolova,&nbsp;Sanja Varošanec","doi":"10.1007/s13324-025-01086-2","DOIUrl":"10.1007/s13324-025-01086-2","url":null,"abstract":"<div><p>This paper is devoted to Opial-type inequalities involving the Riemann-Liouville fractional derivatives. We give continuous versions of certain inequalities that are generalizations of some known results related to Opial-type inequalities.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073731","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
Degenerate Sobolev inequalities from the classical Sobolev inequality 由经典Sobolev不等式退化的Sobolev不等式
IF 1.4 3区 数学
Analysis and Mathematical Physics Pub Date : 2025-05-17 DOI: 10.1007/s13324-025-01065-7
David Cruz-Uribe, Feyza Elif Dal, Scott Rodney, Yusuf Zeren
{"title":"Degenerate Sobolev inequalities from the classical Sobolev inequality","authors":"David Cruz-Uribe,&nbsp;Feyza Elif Dal,&nbsp;Scott Rodney,&nbsp;Yusuf Zeren","doi":"10.1007/s13324-025-01065-7","DOIUrl":"10.1007/s13324-025-01065-7","url":null,"abstract":"<div><p>We prove a degenerate Sobolev inequality of the form </p><div><div><span>$$ bigg (int _Omega |u|^p K, dxbigg )^{frac{1}{p}} le CVert KVert _{L^{n}(Omega )}bigg ( int _Omega big |sqrt{Q}nabla u big |^p, dxbigg )^{frac{1}{p}}, $$</span></div></div><p>where <i>Q</i> is a matrix function whose smallest eigenvalue is bounded below by a constant multiple of <span>(K^{-frac{2}{p'}})</span>. As an application, we prove the exponential integrability of solutions of the Dirichlet problem for <span>(-K^{-1}{{,textrm{div},}}(Q{{,mathrm{nabla },}}u)=f)</span>, <span>(fin L^infty (K,Omega ))</span>, building upon recent results in Cruz-Uribe, MacDonald, and Rodney (2024).</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073635","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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