Harnack inequalities,exponential separation,and perturbations of principal Floquet bundles for linear parabolic equations |
| |
Authors: | Juraj Húska Peter Polá?ik Mikhail V Safonov |
| |
Institution: | School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA |
| |
Abstract: | We consider the Dirichlet problem for linear nonautonomous second order parabolic equations with bounded measurable coefficients on bounded Lipschitz domains. Using a new Harnack-type inequality for quotients of positive solutions, we show that each positive solution exponentially dominates any solution which changes sign for all times. We then examine continuity and robustness properties of a principal Floquet bundle and the associated exponential separation under perturbations of the coefficients and the spatial domain. |
| |
Keywords: | 35K20 35B40 35B20 58J35 35P15 |
本文献已被 ScienceDirect 等数据库收录! |