Harnack inequality and exponential separation for oblique derivative problems on Lipschitz domains
| Autor: | Juraj Húska |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Exponential separation
Spectral gap Harnack inequalities Applied Mathematics Mathematical analysis Mathematics::Analysis of PDEs Lipschitz continuity Parabolic partial differential equation Exponential function Harnack's principle Positive entire solutions Bounded function Analysis Mathematics Harnack's inequality Sign (mathematics) |
| Zdroj: | Journal of Differential Equations. 226:541-557 |
| ISSN: | 0022-0396 |
| DOI: | 10.1016/j.jde.2006.02.008 |
| Popis: | We consider the oblique derivative problem for linear nonautonomous second order parabolic equations with bounded measurable coefficients on bounded Lipschitz cylinders. We derive an optimal elliptic-type Harnack inequality for positive solutions of this problem and use it to show that each positive solution exponentially dominates any solution which changes sign for all times. We show several nontrivial applications of both the exponential estimate and the derived Harnack inequality. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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