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Journal of Partial Differential Equations最新文献

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Properties of Solutions to Fractional Laplace Equation with Singular Term 具有奇异项的分数阶拉普拉斯方程解的性质
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.4
Wang Xinjing
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引用次数: 0
Life-Span of Classical Solutions to a Semilinear Wave Equation with Time-Dependent Damping 具有时变阻尼的半线性波动方程经典解的寿命
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.1
F. Guo, Jinling Liang null, Changwang Xiao
{"title":"Life-Span of Classical Solutions to a Semilinear Wave Equation with Time-Dependent Damping","authors":"F. Guo, Jinling Liang null, Changwang Xiao","doi":"10.4208/jpde.v36.n3.1","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.1","url":null,"abstract":". This paper is concerned with the Cauchy problem for a semilinear wave equation with a time-dependent damping. In case that the space dimension n = 1 and the nonlinear power is bigger than 2, the life-span (cid:101) T ( ε ) and global existence of the classical solution to the problem has been investigated in a unified way. More precisely, with respect to different values of an index K , which depends on the time-dependent damping and the nonlinear term, the life-span (cid:101) T ( ε ) can be estimated below by ε − p 1 − K , e ε − p or + ∞ , where ε is the scale of the compact support of the initial data.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"76 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83118841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces 临界Fourier-Besov-Morrey空间中二维次临界耗散拟地转方程的全局适定性和渐近性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4208/jpde.v36.n1.1
Achraf Azanzal, Chakir Allalou null, Adil Abbassi
{"title":"Global Well-Posedness and Asymptotic Behavior for the 2D Subcritical Dissipative Quasi-Geostrophic Equation in Critical Fourier-Besov-Morrey Spaces","authors":"Achraf Azanzal, Chakir Allalou null, Adil Abbassi","doi":"10.4208/jpde.v36.n1.1","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.1","url":null,"abstract":". In this paper, we study the subcritical dissipative quasi-geostrophic equation. By using the Littlewood Paley theory, Fourier analysis and standard techniques we prove that there exists v a unique global-in-time solution for small initial data be-longing to the critical Fourier-Besov-Morrey spaces FN 3 − 2 α + λ − 2 p p , λ , q . Moreover, we show the asymptotic behavior of the global solution v . i.e., k v ( t ) k FN 3 − 2 α + λ − 2 p p , λ , q decays to zero as time goes to infinity.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"307 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77061039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Discrete Morse Flow for Yamabe Type Heat Flows 离散莫尔斯流的Yamabe型热流
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4208/jpde.v36.n1.3
Ma Li null, Weiqiong Zheng
{"title":"Discrete Morse Flow for Yamabe Type Heat Flows","authors":"Ma Li null, Weiqiong Zheng","doi":"10.4208/jpde.v36.n1.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.3","url":null,"abstract":". In this paper, we study the discrete Morse flow for either Yamabe type heat flow or nonlinear heat flow on a bounded regular domain in the whole space. We show that under suitable assumptions on the initial data g one has a weak approxi-mate discrete Morse flow for the Yamabe type heat flow on any time interval. This phenomenon is very different from the smooth Yamabe flow, where the finite time blow up may exist.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"31 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75186888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 De Giorgi Type Result to Divergence Degenerate Elliptic Equation with Bounded Coefficients Related To Hörmander's Vector Fields 与Hörmander矢量场相关的有界系数散度退化椭圆方程的一个De Giorgi型结果
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-01-01 DOI: 10.4208/jpde.v36.n1.2
Lingling Hou
{"title":"A De Giorgi Type Result to Divergence Degenerate Elliptic Equation with Bounded Coefficients Related To Hörmander's Vector Fields","authors":"Lingling Hou","doi":"10.4208/jpde.v36.n1.2","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.2","url":null,"abstract":". In this paper, we consider the divergence degenerate elliptic equation with bounded coefficients constructed by H¨ormander’s vector fields. We prove a De Giorgi type result, i.e., the local H¨older continuity for the weak solutions to the equation by providing a De Giorgi type lemma and extending the Moser iteration to the setting here. As a consequence, the Harnack inequality of weak solutions is also given","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"46 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85388651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Stochastic Averaging Principle for Mixed Stochastic Differential Equations 混合随机微分方程的随机平均原理
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.3
Zhi Li, Yarong Peng null, Y. Jing
{"title":"Stochastic Averaging Principle for Mixed Stochastic Differential Equations","authors":"Zhi Li, Yarong Peng null, Y. Jing","doi":"10.4208/jpde.v35.n3.3","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.3","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"60 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89165755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity 具有部分黏度的二维磁微极流体方程解的整体存在性和时间衰减率
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.5
Yuzhu Wang null, Yuzhu Wang
{"title":"Global Existence and Time-decay Rates of Solutions to 2D Magneto-micropolar Fluid Equations with Partial Viscosity","authors":"Yuzhu Wang null, Yuzhu Wang","doi":"10.4208/jpde.v35.n2.5","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.5","url":null,"abstract":". In this paper, we investigate the initial value problem for the two-dimensional magneto-micropolar fluid equations with partial viscosity. We prove that global existence of smooth large solutions by the energy method. Furthermore, with aid of the Fourier splitting methods, optimal time-decay rates of global smooth large solutions are also established.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"21 2 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83139525","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
A Weighted Singular Trudinger-Moser Inequality 加权奇异Trudinger-Moser不等式
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.2
YU Peng
{"title":"A Weighted Singular Trudinger-Moser Inequality","authors":"YU Peng","doi":"10.4208/jpde.v35.n3.2","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.2","url":null,"abstract":". In this paper, we obtained the extremal function for a weighted singular Trudinger-Moser inequality by blow-up analysis in the Euclidean space R 2 . This ex-tends recent results of Hou (J. Inequal. Appl., 2018) and similar result was proved by Zhu (Sci. China Math., 2021).","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"140 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77594143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Dynamics for Three Dimensional Generalized Navier- Stokes Equations with Delay 三维广义Navier- Stokes时滞方程动力学
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n2.2
Rui Lu, Chunxiao Guo, Xin-Guang Yang null, P. Zhang
{"title":"Dynamics for Three Dimensional Generalized Navier- Stokes Equations with Delay","authors":"Rui Lu, Chunxiao Guo, Xin-Guang Yang null, P. Zhang","doi":"10.4208/jpde.v35.n2.2","DOIUrl":"https://doi.org/10.4208/jpde.v35.n2.2","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"14 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75252164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 1
Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme 用欧拉格式和有限差分格式研究常微分方程和偏微分方程数值解的稳定性判据
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2022-06-01 DOI: 10.4208/jpde.v35.n3.6
Najmuddin Ahmad null, Shiv Charan
{"title":"Study of Stability Criteria of Numerical Solution of Ordinary and Partial Differential Equations Using Euler’s and Finite Difference Scheme","authors":"Najmuddin Ahmad null, Shiv Charan","doi":"10.4208/jpde.v35.n3.6","DOIUrl":"https://doi.org/10.4208/jpde.v35.n3.6","url":null,"abstract":". In this paper we have discussed solution and stability analysis of ordinary and partial differential equation with boundary value problem. We investigated pe-riodic stability in Eulers scheme and also discussed PDEs by finite difference scheme. Numerical example has been discussed finding nature of stability. All given result more accurate other than existing methods.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"24 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81716531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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