Exponential separation and principal Floquet bundles for linear parabolic equations on $R^N$

Autor:	Peter Poláčik, Juraj Húska
Rok vydání:	2008
Předmět:	Floquet theory Exponential growth Parabolic cylindrical coordinates Applied Mathematics Bundle Mathematical analysis Discrete Mathematics and Combinatorics Order (ring theory) Parabolic cylinder function Parabolic partial differential equation Analysis Exponential function Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - A. 20:81-113
ISSN:	1553-5231
DOI:	10.3934/dcds.2008.20.81
Popis:	We consider linear nonautonomous second order parabolic equations on $\R^N$. Under an instability condition, we prove the existence of two complementary Floquet bundles, one spanned by a positive entire solution - the principal Floquet bundle, the other one consisting of sign-changing solutions. We establish an exponential separation between the two bundles, showing in particular that a class of sign-changing solutions are exponentially dominated by positive solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c9a85b678c65373350becb712a78e94d https://doi.org/10.3934/dcds.2008.20.81 Zobrazit plný text záznamu