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

J. Húska; Peter Poláčik

doi:10.3934/dcds.2008.20.81

Article Contents

2008, Volume 20, Issue 1: 81-113. Doi: 10.3934/dcds.2008.20.81

This issue Previous Article Weak-convergence methods for Hamiltonian multiscale problems Next Article Entire solutions of singular elliptic inequalities on complete manifolds

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

J. Húska^1, and
Peter Poláčik^1,

1.
School of Mathematics, University of Minnesota, Minneapolis, MN 55455

Received: January 2007

Revised: June 2007

Published: January 2008

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: 35K15, 35B05, 35B40.

Citation:

Article Metrics

HTML views() PDF downloads(113) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content