Article ID Journal Published Year Pages File Type
4621231 Journal of Mathematical Analysis and Applications 2008 17 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis