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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 Q4 MATHEMATICS, APPLIED 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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-11-22 DOI: 10.4208/jpde.v33.n3.4
F. Cheng, Chao-Jiang Xu
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.
本文研究无粘Boussinesq方程光滑解的可解析性问题。如果初始基准是实解析的,则解在存在区间上保持实解析。用归纳的方法得到了光滑解空间解析半径的下界。
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n3.5
Qitong Ou and Huashui Zhan sci
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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 Q4 MATHEMATICS, APPLIED 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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.1
A. Sci
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
本文对非线性肖特基二极管非线性左传输线中的孤立波进行了分析,这是一个重要的问题,特别是对于孤子器件。应用Kirchhoffs定律和直接还原法,得到了谱域中的电压。考虑一定调制频率周围的泰勒级数,得到了支持包络孤子和亮孤子解的一维非线性Schrödinger方程(NSE)。利用正弦余弦数学方法,得到了标准非线性Schröd-inger方程的孤子解。所采用的方法简单明了,可用于进一步求解数学物理中的非线性偏微分方程。AMS学科分类:060.2310,35G20, 34G20
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N2.7
Xiao Su and Shubin Wang sci
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.4
Yunyan Yang sci
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
设B1是R2的一个单位圆盘,H是C∞0 (B1)在范数∥u∥H =∫B1 (| u|2 - u 2(1−|x|2)2) dx下的补全。Wang-Ye[1]利用爆破分析证明了Hardy-TrudingerMoser不等式的极值存在性。其中,u∈H,∥u∥H≤1∫B1 e4πu 2 dx的上极值可以由某函数u0∈H,且∥u0∥H =1求得。这被作者和Zhu[2]改进为包含Hardy-Laplacian算子−∆−1/(1−|x|2)2的第一个特征值的版本。本文将采用Malchiodi-Martinazzi[3]和Mancini-Martinazzi[4]新近提出的能量估计方法对[1,2]的结果进行修正。AMS学科分类:35A01, 35B33, 35B44, 34E05中文图书馆分类:O17
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N1.5
Xin-Guang Yang and Shubin Wang sci
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
本文的目的是研究海森堡群上非线性分数阶子place方程解的性质。基于移动平面到Heisenberg群的方法,分别证明了半空间上解的Liouville性质和全群上解的对称性和单调性。AMS学科分类:35A01, 35J57, 35D99
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/jpde.v32.n4.3
Khaled Zaki and Hicham Redwane sci
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
建立了一类具有广义测量数据的具有奇异系数的双非线性抛物型方程的重正规化解的存在唯一性结果。并给出了这类解的比较结果。AMS学科分类:47A15, 46A32, 47D20中文图书馆分类:O175.29
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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 Q4 MATHEMATICS, APPLIED Pub Date : 2019-06-01 DOI: 10.4208/JPDE.V32.N1.6
Xin-Guang Yang and Shubin Wang sci
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
研究了一类具有非齐次边界条件的二维非自治不可压缩Navier-Stokes方程弱解的全局适定性和正则性。利用控制稳态方程的估计和Hardy不等式,证明了全局唯一弱解的存在性和正则性。此外,这些结果也适用于含瑞利摩擦的二维Navier-Stokes方程和Navier-Stokes- voigt流,但不适用于三维。AMS学科分类:35B40, 35B41, 35Q30, 76D03, 76D05中文图书馆分类:O175.27
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引用次数: 2
期刊
Journal of Partial Differential Equations
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