Evolution families and maximal regularity for systems of parabolic equations

Autor:	Gallarati, Chiara, Veraar, Mark
Rok vydání:	2015
Předmět:	Mathematics - Analysis of PDEs Mathematics - Functional Analysis 42B37 47D06 (Primary) 34G10 35B65 42B15 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In this paper we prove maximal $L^p$-regularity for a system of parabolic PDEs, where the elliptic operator $A$ has coefficients which depend on time in a measurable way and are continuous in the space variable. The proof is based on operator-theoretic methods and one of the main ingredients in the proof is the construction of an evolution family on weighted $L^q$-spaces. Comment: Minor revision. Accepted for publication in Advances in Differential Equations
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.07643 Zobrazit plný text záznamu View this record from Arxiv