A note on Besov regularity for parabolic initial boundary value problems

2013/07/10 by Aimar, Hugo, Gómez, Ivana
#35B65 #35K05 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1307.2945

Abstract

In this note we consider the initial boundary value problem for the heat equation on cylinders based on Lipschitz domains with Besov data. We obtain a regularity exponent for the solution that improves the rate of convergence of nonlinear approximation methods.

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