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Journal of Partial Differential Equations最新文献

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Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 data 变指数非线性退化各向异性椭圆方程和L1数据
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2020-06-01 DOI: 10.4208/jpde.v33.n1.1
global sci
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引用次数: 3
On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations 无粘Boussinesq方程的空间解析半径
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-11-22 DOI: 10.4208/jpde.v33.n3.4
F. Cheng, Chao-Jiang Xu
{"title":"On the Radius of Spatial Analyticity for the Inviscid Boussinesq Equations","authors":"F. Cheng, Chao-Jiang Xu","doi":"10.4208/jpde.v33.n3.4","DOIUrl":"https://doi.org/10.4208/jpde.v33.n3.4","url":null,"abstract":"In this paper, we study the problem of analyticity of smooth solutions of the inviscid Boussinesq equations. If the initial datum is real-analytic, the solution remains real-analytic on the existence interval. By an inductive method we can obtain lower bounds on the radius of spatial analyticity of the smooth solution.","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"158 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91086950","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
Parabolic System Related to the P-Laplician with Degeneracy on the Boundary 与边界上退化的p -拉普拉斯相关的抛物系统
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n3.5
Qitong Ou and Huashui Zhan sci
{"title":"Parabolic System Related to the P-Laplician with Degeneracy on the Boundary","authors":"Qitong Ou and Huashui Zhan sci","doi":"10.4208/jpde.v32.n3.5","DOIUrl":"https://doi.org/10.4208/jpde.v32.n3.5","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"13 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87125287","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
Sobolev-type Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients 非lipschitz系数分数阶布朗运动驱动的sobolev型分数阶随机微分方程
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N2.4
Wentao Zhan and Zhi Li sci
{"title":"Sobolev-type Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Non-Lipschitz Coefficients","authors":"Wentao Zhan and Zhi Li sci","doi":"10.4208/JPDE.V32.N2.4","DOIUrl":"https://doi.org/10.4208/JPDE.V32.N2.4","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"16 5 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81046564","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
Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial 复合左右手超材料中1-非线性Schrödinger方程的孤波
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.1
A. Sci
{"title":"Solitary Waves of 1-Nonlinear Schrödinger Equation in the Composite Right- and Left-Handed Metamaterial","authors":"A. Sci","doi":"10.4208/jpde.v32.n4.1","DOIUrl":"https://doi.org/10.4208/jpde.v32.n4.1","url":null,"abstract":"In this article, we analyze solitary waves in nonlinear left-handed transmission line with nonlinear diodes (Schottkys) which is an important issue, especially for soliton devices. By applying the Kirchhoffs laws and reductive direct method, the voltage in the spectral domain was obtained. Considering the Taylor series around a certain modulation frequency, we obtained one dimensional Nonlinear Schrödinger Equation (NSE), which support envelops soliton, and bright soliton solutions. Using sine-cosine mathematical method, soliton solutions of the standard Nonlinear Schröd-inger equation are obtained. The method used is straightforward and concise and can be applied to solve further of nonlinear PDEs in mathematical physics. AMS Subject Classifications: 060.2310, 35G20, 34G20 Chinese Library Classifications: O175.29","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"280 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86384808","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 Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms 具有退化阻尼项的非线性波动方程具有任意正初始能量的爆破结果
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N2.7
Xiao Su and Shubin Wang sci
{"title":"A Blow-up Result with Arbitrary Positive Initial Energy for Nonlinear Wave Equations with Degenerate Damping Terms","authors":"Xiao Su and Shubin Wang sci","doi":"10.4208/JPDE.V32.N2.7","DOIUrl":"https://doi.org/10.4208/JPDE.V32.N2.7","url":null,"abstract":"","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"119 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89364936","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: 4
Energy Estimate Related to a Hardy-Trudinger-Moser Inequality 与Hardy-Trudinger-Moser不等式相关的能量估计
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.4
Yunyan Yang sci
{"title":"Energy Estimate Related to a Hardy-Trudinger-Moser Inequality","authors":"Yunyan Yang sci","doi":"10.4208/jpde.v32.n4.4","DOIUrl":"https://doi.org/10.4208/jpde.v32.n4.4","url":null,"abstract":"Let B1 be a unit disc of R2, and H be a completion of C∞ 0 (B1) under the norm ∥u∥H = ∫ B1 ( |∇u|2− u 2 (1−|x|2)2 ) dx. Using blow-up analysis, Wang-Ye [1] proved existence of extremals for a Hardy-TrudingerMoser inequality. In particular, the supremum sup u∈H ,∥u∥H ≤1 ∫ B1 e4πu 2 dx can be attained by some function u0 ∈H with ∥u0∥H =1. This was improved by the author and Zhu [2] to a version involving the first eigenvalue of the Hardy-Laplacian operator −∆−1/(1−|x|2)2. In this note, the results of [1, 2] will be reproved by the method of energy estimate, which was recently developed by Malchiodi-Martinazzi [3] and Mancini-Martinazzi [4]. AMS Subject Classifications: 35A01, 35B33, 35B44, 34E05 Chinese Library Classifications: O17","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"54 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76768730","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: 4
Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group 海森堡群上非线性分数子place方程的性质
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N1.5
Xin-Guang Yang and Shubin Wang sci
{"title":"Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group","authors":"Xin-Guang Yang and Shubin Wang sci","doi":"10.4208/JPDE.V32.N1.5","DOIUrl":"https://doi.org/10.4208/JPDE.V32.N1.5","url":null,"abstract":"The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group. Based on the method of moving planes to the Heisenberg group, we prove the Liouville property of solutions on a half space and the symmetry and monotonicity of the solutions on the whole group respectively. AMS Subject Classifications: 35A01, 35J57, 35D99 Chinese Library Classifications: O175.2","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82174613","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
Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data 具有漫射测量数据的未知奇异系数非线性抛物方程
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.3
Khaled Zaki and Hicham Redwane sci
{"title":"Nonlinear Parabolic Equations with Singular Coefficient with Respect to the Unknown and with Diffuse Measure Data","authors":"Khaled Zaki and Hicham Redwane sci","doi":"10.4208/jpde.v32.n4.3","DOIUrl":"https://doi.org/10.4208/jpde.v32.n4.3","url":null,"abstract":"An existence and uniqueness result of a renormalized solution for a class of doubly nonlinear parabolic equations with singular coefficient with respect to the unknown and with diffuse measure data is established. A comparison result is also proved for such solutions. AMS Subject Classifications: 47A15, 46A32, 47D20 Chinese Library Classifications: O175.29","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"29 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75337706","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
Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain 类lipschitz域二维非自治不可压缩流体流动的适定性
IF 0.3 4区 数学
Journal of Partial Differential Equations Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N1.6
Xin-Guang Yang and Shubin Wang sci
{"title":"Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain","authors":"Xin-Guang Yang and Shubin Wang sci","doi":"10.4208/JPDE.V32.N1.6","DOIUrl":"https://doi.org/10.4208/JPDE.V32.N1.6","url":null,"abstract":"This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain. Using the estimate for governing steady state equation and Hardy’s inequality, the existence and regularity of global unique weak solution can be proved. Moreover, these results also hold for 2D Navier-Stokes equation with Rayleigh’s friction and Navier-Stokes-Voigt flow, but invalid for three dimension. AMS Subject Classifications: 35B40, 35B41, 35Q30, 76D03, 76D05 Chinese Library Classifications: O175.27","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":"289 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79433143","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: 2
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