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INERTIAL MANIFOLDS FOR NONAUTONOMOUS SEMILINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH TIME DELAYS
  • ISSN号：2096-0174
  • 期刊名称：《应用数学年刊：英文版》
  • 时间：0
  • 分类：O17[理学—数学;理学—基础数学]
  • 相关基金：Supported by NNSF of China (10571175).
中文摘要：

The present paper deals with the long-time behavior of a class of nonautonomous retarded semilinear parabolic differential equations. When the time delays are small enough and the spectral gap conditions hold, the inertial manifolds of the nonautonomous retard parabolic equations are constructed by using the Lyapunov-Perron method.

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强不定非线性椭圆问题与时滞非线性反应扩散方程研究
期刊论文 43 著作 1
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Lipschitz区域上一类非自治时滞抛物方程的吸引子
一类时滞反应扩散方程稳态解的全局吸引性
Positive solutions for critical elliptic systems in non-contractible domains
一类非自治时滞抛物方程的一致吸引子
Nonnegative solutions for nonlinear elliptic systems
Multiple solutions for a class of nonlinear Schr\"{o}dinger equation
Existence of a semilinear elliptic equation in $\mathbb R^N$ with sign-changing weight
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Locating peaks of solutions of nonlinear Schr\"{o}dinger equations with sign-changing nonlinearities
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Critical Neuman Problem for nonlinear elliptic systems in exterior domains
Multiple solutions for inhomogeneous critical semilinear elliptic problems
Pullback Attractors for Nonautonomous and Random Parabolic Equations on Non-Smooth Domains
Positive solutions for asymptotically linear elliptic systems
Nontrivial solutions of Schrodinger equations with indefinite nonlinearities
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具有拟周期外力的非自治时滞发展方程的近似惯性流形
拟周期时滞耗散半线性波方程的惯性流形
非自伴情形下时滞抛物方程的惯性流形
具有拟周期外力的非自治发展方程的时滞惯性流形与近似惯性流形
Inertial manifolds for nonautonomous semilinear parabolic PDE with delays
Multiple solutions for nonlinear elliptic systems with changing-sign weights
非自治时滞抛物方程的pullback吸引子
一类时滞格动力系统的整体吸引子
Positive solutions for critical inhomogeneous elliptic problems in non-contractible domains
The asymptotic behavior of Solutions for a H\'{e}non system with a nearly critical exponent
Multiple solutions for a elliptic system in exterior domain
Nontrivial solutions of Hardy-H\'{e}non type elliptic systems
Existence results for critical singular elliptic systems
一类时滞反应扩散方程的稳态解和行波解
Long-time behavior of a class of reaction diffusion equations with time Dalays，
Existence results for strongly indefinite elliptic systems
Existence of nonnegative solutions for a class of p-Laplacian equations in $\mathbb{R}^N$
Multiple solutions for the Schr\"{o}dinger equation with magnetic field
渐近线性椭圆方程组的非负解(英文)
一类非线性薛定谔方程的多解的存在性
一类时滞反应扩散方程的稳态解的全局吸引性
时滞合作扩散系统的波前解
一类时滞反应扩散方程的整体吸引子
LONG-TIME BEHAVIOR OF A CLASS OF REACTION DIFFUSION EQUATIONS WITH TIME DELAYS
期刊信息
  • 《应用数学年刊：英文版》
  • 主管单位:
  • 主办单位:福州大学
  • 主编：
  • 地址：福州大学数学与计算机科学学院
  • 邮编：350002
  • 邮箱：
  • 电话：0591-87893244
  • 国际标准刊号：ISSN：2096-0174
  • 国内统一刊号：ISSN：35-1328/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）
  • 被引量:0