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

Juraj Húska | Zendy; Peter Poláčik | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Juraj Húska,

Peter Poláčik

Publication year - 2008

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2008.20.81

Subject(s) - floquet theory , sign (mathematics) , mathematics , exponential function , mathematical analysis , exponential growth , parabolic partial differential equation , bundle , order (exchange) , exponential dichotomy , pure mathematics , physics , partial differential equation , nonlinear system , differential equation , quantum mechanics , materials science , finance , economics , composite material

We consider linear nonautonomous second order parabolic equa- tions on R N. Under an instability condition, we prove the existence of two complementary Floquet bundles, one spanned by a positive en- tire 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research