A Probabilistic proof of the breakdown of Besov regularity in $L$-shaped domains

Autor:	Knopova, Victoria, Schilling, René L.
Rok vydání:	2017
Předmět:	Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	{We provide a probabilistic approach in order to investigate the smoothness of the solution to the Poisson and Dirichlet problems in $L$-shaped domains. In particular, we obtain (probabilistic) integral representations for the solution. We also recover Grisvard's classic result on the angle-dependent breakdown of the regularity of the solution measured in a Besov scale.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.09458 Zobrazit plný text záznamu View this record from Arxiv