Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations

Authors:	Matthias Hieber Sylvie Monniaux

Affiliation:	Mathematisches Institut I, Englerstr. 2, Universität Karlsruhe, D-76128 Karlsruhe, Germany ; Abteilung Mathematik V, Universität Ulm, D-89069 Ulm, Germany

Abstract:	In this paper, we show that a pseudo-differential operator associated to a symbol $ain L^{infty}(mathbb{R}timesmathbb{R},mathcal{L}(H))$ ( being a Hilbert space) which admits a holomorphic extension to a suitable sector of acts as a bounded operator on $L^{2}(mathbb{R},H)$ . By showing that maximal $L^{p}$ -regularity for the non-autonomous parabolic equation is independent of , we obtain as a consequence a maximal $L^{p}([0,T],H)$ -regularity result for solutions of the above equation.

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载全文