@article{oai:teapot.lib.ocha.ac.jp:00034655,
 author = {GIGA, Mariko},
 issue = {1},
 journal = {お茶の水女子大學自然科學報告},
 month = {Jun},
 note = {application/pdf, 紀要論文, 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.},
 pages = {1--21},
 title = {The Analyticity of the Semigroup Generated by the Elliptic Differential Operator in a Lipschitz Domain},
 volume = {53},
 year = {2002}
}