http://swrc.ontoware.org/ontology#UnrefereedArticle
The Analyticity of the Semigroup Generated by the Elliptic Differential Operator in a Lipschitz Domain
en
GIGA, Mariko
We consider the elliptic differential operator in divergence form associated with Dirichlet boundary condition in a Lipschitz domain Ω in R^m. The aim of this paper is to show that the operator is the generator of an analytic semigroup of bounded linear operators in L^P(Ω). We start from the concrete differential operator with Dirichlet boundary condition in weak sense. Then we show that the smallest closed extension of it is the generator of C_0-semigroup, and that the semigroup satisfies the estimate to be an analytic semigroup.
お茶の水女子大學自然科學報告
53
1
1-21
2002-06
00298190
AN00033958
application/pdf
400
お茶の水女子大学
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