On the Lp-Theory of C0-Semigroups Associated with Second-Order Elliptic Operators, I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

On the L_p-Theory of C₀-Semigroups Associated with Second-Order Elliptic Operators, I

Authors:	Zeev SobolHendrik Vogt

Affiliation:	^a School of Mathematics, University of Bristol, Bristol, BS8 1TW, United Kingdom ^b Institut für Analysis, Fachrichtung Mathematik, Technische Universität Dresden, Dresden, Germany

Abstract:	We study L_p-theory of second-order elliptic divergence-type operators with measurable coefficients. To this end, we introduce a new method of constructing positive C₀-semigroups on L_p associated with sesquilinear (not necessarily sectorial) forms in L₂. A precise condition ensuring that the elliptic operator is associated with a quasi-contractive C₀-semigroup on L_p is established.

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