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Journal of Partial Differential Equations最新文献

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Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation 广义Kudryashov-Sinelshchikov方程的不变子空间和精确解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n3.3
Jina Li, Gai-zhu Qu, Jianlin Zhang null, Xuehui Ji
{"title":"Invariant Subspace and Exact Solutions to the Generalized Kudryashov-Sinelshchikov Equation","authors":"Jina Li, Gai-zhu Qu, Jianlin Zhang null, Xuehui Ji","doi":"10.4208/jpde.v36.n3.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n3.3","url":null,"abstract":". In this research, invariant subspaces and exact solutions for the governing equation are obtained through the invariant subspace method, and the generalized second-order Kudryashov-Sinelshchikov equation is used to describe pressure waves in a liquid with bubbles. The governing equations are classified and transformed into a system of ordinary differential equations, and the exact solutions of the classified equation are obtained by solving the system of ordinary differential equations. The method gives logarithmic, polynomial, exponential, and trigonometric solutions for equations. The primary accomplishments of this work are displaying how to obtain the exact solutions of the classified equations and giving the stability analysis of reduced ordinary differential equations.","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":"76128756","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
Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent 具有一般非线性和临界指数Schrödinger-Poisson系统的正基态解
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n1.5
Qingfang Chen null, Jia‐Feng Liao
{"title":"Positive Ground State Solutions for Schrödinger-Poisson System with General Nonlinearity and Critical Exponent","authors":"Qingfang Chen null, Jia‐Feng Liao","doi":"10.4208/jpde.v36.n1.5","DOIUrl":"https://doi.org/10.4208/jpde.v36.n1.5","url":null,"abstract":". In this paper, we consider the following Schr¨odinger-Poisson system","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":"81077927","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
Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $mathbb{R}^n$ $mathbb{R}^n$中包含$L^p$-范数的改进Trudinger-Moser不等式的极值函数
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.7
YANG Liu null, Xiaomeng LI
{"title":"Extremal Functions for an Improved Trudinger-Moser Inequality Involving $L^p$-Norm in $mathbb{R}^n$","authors":"YANG Liu null, Xiaomeng LI","doi":"10.4208/jpde.v36.n4.7","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.7","url":null,"abstract":". Let W 1, n ( R n ) be the standard Sobolev space. For any τ > 0 and p > n > 2, we denote","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":"135194309","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 Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity 具有空间异质承载能力的扩散捕食-食饵模型
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.8
Jiawei CHEN null, Biao WANG
{"title":"A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity","authors":"Jiawei CHEN null, Biao WANG","doi":"10.4208/jpde.v36.n4.8","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.8","url":null,"abstract":"","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":"135194312","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
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
{"title":"Properties of Solutions to Fractional Laplace Equation with Singular Term","authors":"Wang Xinjing","doi":"10.4208/jpde.v36.n2.4","DOIUrl":"https://doi.org/10.4208/jpde.v36.n2.4","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":"77323672","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
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":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":"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
Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model 一类抛物型趋化模型的自由边界问题
4区 数学
Journal of Partial Differential Equations Pub Date : 2023-06-01 DOI: 10.4208/jpde.v36.n4.3
Wenbin LYU
{"title":"Free Boundaries Problem for a Class of Parabolic Type Chemotaxis Model","authors":"Wenbin LYU","doi":"10.4208/jpde.v36.n4.3","DOIUrl":"https://doi.org/10.4208/jpde.v36.n4.3","url":null,"abstract":"","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":"135194310","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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
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