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Nontrivial full bounded solutions of time-periodic semilinear parabolic PDEs
Published online by Cambridge University Press: 14 November 2011
Synopsis
Consider 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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 3-4 , 1991 , pp. 305 - 315
- Copyright
- Copyright © Royal Society of Edinburgh 1991
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