Space Almost Periodic Solutions of Reaction Diffusion Equations

Bruno Scarpellini
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Bruno Scarpellini: Mathematisches Institut Universität Basel

A chapter in Functional Analysis and Evolution Equations, 2007, pp 577-594 from Springer

Abstract: Abstract We consider reaction diffusion equations of the form (*) ∂ t u = νΔu + ζ u + $$ \varsigma u + \mathcal{P}\left( u \right),\mathcal{P}\left( u \right) = \sum _z^m a_k u^k $$ and seek solutions on ℝ n which are almost periodic in the space variables x. Such solutions are constructed in the space H 0(ℝ n ) of almost periodic functions f(x) subject to (**) $$ f\left( x \right) = \sum f_k e^{i\nabla _k x} ,\sum \left| {fk} \right|

Keywords: Inhomogenic Bénard equation; travelling waves; Hopf bifurcation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7643-7794-6_35

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DOI: 10.1007/978-3-7643-7794-6_35

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