Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains

被引：0

作者：

C. Eugene Wayne

机构：

[1] Department of Mathematics Pennsylvania State University University Park,

[2] Pennsylvania,undefined

来源：

Archive for Rational Mechanics and Analysis | 1997年 / 138卷

关键词：

Differential Equation; Manifold; Partial Differential Equation; Invariant Manifold; Unbounded Domain;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper finite-dimensional invariant manifolds for nonlinear parabolic partial differential equations of the form\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}

引用

页码：279 / 306

页数：27

共 50 条

[1] Invariant manifolds for parabolic partial differential equations on unbounded domains
Wayne, CE
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 138 (03) : 279 - 306
[2] Invariant measures for stochastic partial differential equations in unbounded domains
Eckmann, JP
Hairer, M
NONLINEARITY, 2001, 14 (01) : 133 - 151
[3] Invariant manifolds for stochastic delayed partial differential equations of parabolic type
Hu, Wenjie
Zhu, Quanxin
Caraballo, Tomas
CHAOS SOLITONS & FRACTALS, 2023, 176
[4] An LP theory of invariant manifolds for parabolic partial differential equations on Rd
Kobayasi, K
JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 179 (01) : 195 - 212
[5] Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
Caraballo, T
Chueshov, I
Langa, JA
NONLINEARITY, 2005, 18 (02) : 747 - 767
[6] INVARIANT-MANIFOLDS AND INERTIAL FORMS FOR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
BAEK, J
JU, HK
KWAK, M
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1993, 42 (03) : 721 - 731
[7] Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations
Fastovskaya T.B.
Ukrainian Mathematical Journal, 2005, 57 (12) : 1977 - 1994
[8] On a system of partial differential equations on unbounded domains
Matos, MP
de Lima, OA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (05) : 531 - 540
[9] On nonlinear parabolic functional differential equations in unbounded domains
Simon, L
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4421 - 4432
[10] Invariant manifolds for stochastic partial differential equations
Duan, JQ
Lu, KN
Schmalfuss, B
ANNALS OF PROBABILITY, 2003, 31 (04): : 2109 - 2135

← 1 2 3 4 5 →