Gaussian estimates for second-order operators with unbounded coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:258

Article

Karrmann, S

关键词: Gaussian estimates;    unbounded coefficients;    second order;    elliptic;    Dirichlet boundary condition;    nonsymmetric;   

DOI  :  10.1006/jmaa.2001.7507

来源: Elsevier

【 摘 要 】

We study second-order differential operators A with lower-order coefficients in some L-q + L-infinity. We prove the generation of positive, quasi-contractive C-0 semigroups on L-p for all p is an element of (1,infinity). If the second-order coefficients are in some L-q + L-infinity, we get upper pseudo-Gaussian bounds of the heat kernel. Maximal regularity, spectral independence on L-p, and analyticity of the generated semigroup on L-1 are studied for these operators. (C) 2001 Academic Press.

【 授权许可】

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