Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs-Reference-Cited by-同舟云学术

Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs

Published:1991 Issue:3-4 Volume:117 Page:305-315
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Mrozek Marian,Rybakowski Krzysztof P.

Abstract

SynopsisConsider the semilinear evolution equation(P) u + Au = f(t,u)where A is a sectorial operator on a Banach space and f is ω-periodic in t. Using a time-discrete Conley index developed in a previous paper [6], we prove a few existence results on bounded solutions of (P) defined for all t ∊ R. More specific results are given for time-periodic scalar parabolic equations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. 6 Mrozek M. and Rybakowski K. P. . A cohomological Conley index for maps on metric spaces, J. Differential Equations (to appear).

2. On the homotopy index for infinite-dimensional semiflows

3. Leray functor and cohomological Conley index for discrete dynamical systems

4. Negatively invariant sets of compact maps and an extension of a theorem of Cartwright

5. The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces

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