Kernel estimates for elliptic operators with second-order discontinuous coefficients

被引：16

作者：

Metafune, G. ^{[1
]}

Sobajima, M. ^{[1
,2
]}

Spina, C. ^{[1
]}

机构：

[1] Univ Salento, Dipartimento Matemat Ennio De Giorgi, CP 193, I-73100 Lecce, Italy

[2] Tokyo Univ Sci, Dept Math, Tokyo, Japan

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2017年 / 17卷 / 01期

关键词：

Elliptic operators; Discontinuous coefficients; Analytic semigroups; Kernel estimates; UNBOUNDED DIFFUSION-COEFFICIENTS; L-P; SCHRODINGER-OPERATORS; CALDERN-ZYGMUND; HEAT-EQUATION; INEQUALITIES; RELLICH;

D O I：

10.1007/s00028-016-0355-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study parabolic problems associated to the second-order elliptic operator L = Delta + (a - 1) Sigma(N)(i,j=1) xi x (2)(j/|x|) D-i (j) + c x/(2)(|x|) .del - b|x|(-2) with a > 0 and b, c real coefficients and prove kernel estimates for the transition kernel.

引用

页码：485 / 522

页数：38

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