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Journal of Partial Differential Equations最新文献

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Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds 紧凑黎曼曼体上具有哈代势和临界非线性的椭圆方程的多重解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2024-06-01 DOI: 10.4208/jpde.v37.n1.1
Maliki Youssef null, Terki Fatima Zohra
{"title":"Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds","authors":"Maliki Youssef null, Terki Fatima Zohra","doi":"10.4208/jpde.v37.n1.1","DOIUrl":"https://doi.org/10.4208/jpde.v37.n1.1","url":null,"abstract":". We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141229593","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
On the Viability of Solutions to Conformable Stochastic Differential Equations 论可变随机微分方程解的可行性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2024-06-01 DOI: 10.4208/jpde.v37.n1.3
Liping XU null, Zhi Li
{"title":"On the Viability of Solutions to Conformable Stochastic Differential Equations","authors":"Liping XU null, Zhi Li","doi":"10.4208/jpde.v37.n1.3","DOIUrl":"https://doi.org/10.4208/jpde.v37.n1.3","url":null,"abstract":". The viability of the conformable stochastic differential equations is studied. Some necessary and sufficient conditions in terms of the distance function to K are given. In addition, when the boundary of K is sufficiently smooth, our necessary and sufficient conditions can reduce to two relations just on the boundary of K . Lastly, an example is given to illustrate our main results.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141235664","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
Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay 有延迟的二维不可压缩纳维-斯托克斯方程的回拉吸引力的鲁棒性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2024-06-01 DOI: 10.4208/jpde.v37.n1.2
Keqin SU null, Xinguang Yang
{"title":"Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay","authors":"Keqin SU null, Xinguang Yang","doi":"10.4208/jpde.v37.n1.2","DOIUrl":"https://doi.org/10.4208/jpde.v37.n1.2","url":null,"abstract":". This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi-continuity in last section","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141233125","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
On Linear Homogeneous Biwave Equations 论线性均质双波方程
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2024-06-01 DOI: 10.4208/jpde.v37.n1.4
Yaqian Bai
{"title":"On Linear Homogeneous Biwave Equations","authors":"Yaqian Bai","doi":"10.4208/jpde.v37.n1.4","DOIUrl":"https://doi.org/10.4208/jpde.v37.n1.4","url":null,"abstract":". The biwave maps are a class of fourth order hyperbolic equations. In this paper, we are interested in the solution formulas of the linear homogeneous biwave equations. Based on the solution formulas and the weighted energy estimate, we can obtain the L ∞ ( R n ) − W N ,1 ( R n ) and L ∞ ( R n ) − W N ,2 ( R n ) estimates, respectively. By our results, we find that the biwave maps enjoy some different properties compared with the standard wave equations","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141232934","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
Quenching Phenomenon of Solutions for Parabolic Equations with Singular Absorption on Graphs 图形上具有奇异吸收的抛物方程解的淬火现象
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2024-06-01 DOI: 10.4208/jpde.v37.n1.6
Liping Zhu, Yaxin Zhou null, Lin Huang
{"title":"Quenching Phenomenon of Solutions for Parabolic Equations with Singular Absorption on Graphs","authors":"Liping Zhu, Yaxin Zhou null, Lin Huang","doi":"10.4208/jpde.v37.n1.6","DOIUrl":"https://doi.org/10.4208/jpde.v37.n1.6","url":null,"abstract":". In this paper, we study the quenching phenomenon of solutions for parabolic equations with singular absorption under the mixed boundary conditions on graphs. Firstly, we prove the local existence of solutions via Schauder fixed point theorem. Then, under certain conditions we obtain the estimates of quenching time and quenching rate. Finally, numerical experiments are shown to explain the theoretical results.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141230501","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
Existence of Weak Solution for $p(x)$-Kirchhoff Type Problem Involving the $p(x)$-Laplacian-like Operator by Topological Degree 涉及$p(x)$-类拉普拉斯算子的$p(x)$-Kirchhoff型问题的拓扑度弱解的存在性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.5
EL Ouaarabi Mohamed, Allalou Chakir null, Melliani Said
{"title":"Existence of Weak Solution for $p(x)$-Kirchhoff Type Problem Involving the $p(x)$-Laplacian-like Operator by Topological Degree","authors":"EL Ouaarabi Mohamed, Allalou Chakir null, Melliani Said","doi":"10.4208/jpde.v36.n2.5","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.5","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81017488","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
Achievements and Contributions in the Field of Partial Differential Equations: Special Issue Dedicated to Academician Zhou Yulin’s Centenary Birthday 偏微分方程领域的成就与贡献——周玉林院士百年诞辰特刊
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.1
G. Boling
{"title":"Achievements and Contributions in the Field of Partial Differential Equations: Special Issue Dedicated to Academician Zhou Yulin’s Centenary Birthday","authors":"G. Boling","doi":"10.4208/jpde.v36.n2.1","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.1","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87537047","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
An Elliptic Nonlinear System of Two Functions with Application 椭圆型非线性两函数系统及其应用
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.2
Kang Joon Hyuk null, Roberts Timothy
{"title":"An Elliptic Nonlinear System of Two Functions with Application","authors":"Kang Joon Hyuk null, Roberts Timothy","doi":"10.4208/jpde.v36.n2.2","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.2","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73635522","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
Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition 一类具有Neumann边界条件的自由边界问题的Lipschitz连续性及其解的显式形式
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.1
SAADI Abderachid
{"title":"Lipschitz Continuity and Explicit Form of Solution in a Class of Free Boundary Problem with Neumann Boundary Condition","authors":"SAADI Abderachid","doi":"10.4208/jpde.v36.n4.1","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.1","url":null,"abstract":". We consider a class of free boundary problems with Neumann boundary conditions. We would like to give certain results with regularity of solutions (mainly the local interior and boundary Lipschitz continuity). We will also show an explicit form of solution under well-specified conditions.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135194306","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
Quasi Contraction of Stochastic Functional Differential Equations 随机泛函微分方程的拟收缩
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n2.6
Zhao Jiaxin, LI Zhi null, Xu Liping
{"title":"Quasi Contraction of Stochastic Functional Differential Equations","authors":"Zhao Jiaxin, LI Zhi null, Xu Liping","doi":"10.4208/jpde.v36.n2.6","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.6","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84874877","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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