Improved entropy decay estimates for the heat equation

A. Arnold, J. A. Carrillo, C. Klapproth

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

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. © 2008 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)190-206
JournalJournal of Mathematical Analysis and Applications
Volume343
DOIs
Publication statusPublished - 1 Jul 2008

Keywords

  • Entropy method
  • Heat equation
  • Large time behavior

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