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Improved entropy decay estimates for the heat equation |
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| Authors: | A. Arnold |
| Affiliation: | a Institut für Analysis und Scientific Computing, E101, Technische Universität Wien, Wiedner Hauptstr. 8, A-1040 Wien, Austria b Institució Catalana de Recerca i Estudis Avançats and Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain c Zuse Institute Berlin (ZIB), Takustr. 7, D-14195 Berlin, Germany |
| Abstract: | Improved entropy decay estimates for the heat equation are obtained by selecting well-parametrized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy toward these Gaussians is shown to decay with better constants than classical estimates. |
| Keywords: | Entropy method Heat equation Large time behavior |
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