Superstable manifolds of semilinear parabolic problems
type: Item
instance of: scholarly article
title: Superstable manifolds of semilinear parabolic problems
zbMATH Open document ID: 1129.35428
author: Nils Ackermann
author: Thomas J. Bartsch
published in: Journal of Dynamics and Differential Equations
publication date: 2005-10-28T00:00:00Z
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 2220727
zbMATH Keywords: invariant manifolds
zbMATH Keywords: connecting orbits
zbMATH Keywords: nodal properties
MaRDI profile type: Publication
full work available at URL: s10884-005-3144-z
OpenAlex ID: W2013298619
cites work: A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems
cites work: Dual variational methods in critical point theory and applications
cites work: The zero set of a solution of a parabolic equation.
cites work: Critical point theory on partially ordered Hilbert spaces
cites work: Numbers of zeros on invariant manifolds in reaction- diffusion equations
cites work: Connecting orbits in scalar reaction diffusion equations. II: The complete solution
cites work: The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension
cites work: A sign-changing solution for a superlinear Dirichlet problem
cites work: Structural stability for time-periodic one-dimensional parabolic equations
cites work: A strong unique continuation theorem for parabolic equations
cites work: On sign-changing solutions of certain semilinear elliptic problems
cites work: Heteroclinic orbits of semilinear parabolic equations
cites work: A permutation related to the dynamics of a scalar parabolic PDE
cites work: Convergence in gradient-like systems with applications to PDE
cites work: Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
cites work: A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain-Pass Theorem
cites work: Q3749777
cites work: Norms and Domains of the Complex Powers A B z
cites work: A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE
DOI: 10.1007/S10884-005-3144-Z
description: scientific article