Analyticity on L1 of the heat semigroup with Wentzell boundary conditions

被引：0
作者：
Mahamadi Warma
机构：
[1] University of Puerto Rico,Department of Mathematics, Faculty of Natural Sciences
来源：
Archiv der Mathematik | 2010年 / 94卷
关键词：
Primary 35K05; Secondary 47D06; Laplacian; Wentzell boundary conditions; Analytic semigroups;
D O I：
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中图分类号：
学科分类号：
摘要：
We show that the semigroup generated by the realization of the Laplace operator with Wentzell boundary conditions in a bounded smooth domain is analytic on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${L^1(\Omega) \oplus L^1(\partial \Omega)}$$\end{document} .
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页码：85 / 89
页数：4
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