The Principal Floquet Bundle and Exponential Separation for Linear Parabolic Equations

Autor:	Juraj Húska, Peter Poláčik
Rok vydání:	2004
Předmět:	Floquet theory symbols.namesake Partial differential equation Dirichlet boundary condition Bundle Mathematical analysis symbols Uniqueness Parabolic partial differential equation Analysis Eigenvalues and eigenvectors Domain (mathematical analysis) Mathematics
Zdroj:	Journal of Dynamics and Differential Equations. 16:347-375
ISSN:	1572-9222 1040-7294
DOI:	10.1007/s10884-004-2784-8
Popis:	We consider linear nonautonomous second order parabolic equations on bounded domains subject to Dirichlet boundary condition. Under mild regularity assumptions on the coefficients and the domain, we establish the existence of a principal Floquet bundle exponentially separated from a complementary invariant bundle. Our main theorem extends in a natural way standard results on principal eigenvalues and eigenfunctions of elliptic and time-periodic parabolic equations. Similar theorems were earlier available only for smooth domains and coefficients. As a corollary of our main result, we obtain the uniqueness of positive entire solutions of the equations in
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::871624b102fab97ef1c92c2f791a6b64 https://doi.org/10.1007/s10884-004-2784-8 Zobrazit plný text záznamu Full text from SpringerLink