Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients

被引：21

作者：

Metafune, G. ^{[1
]}

Negro, L. ^{[1
]}

Spina, C. ^{[1
]}

机构：

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

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2018年 / 18卷 / 02期

关键词：

Elliptic operators; Discontinuous coefficients; Analytic semigroups; Kernel estimates; HEAT-EQUATION; SCHRODINGER;

D O I：

10.1007/s00028-017-0408-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the second- order elliptic operator L = + ( a - 1) N i, j= 1 xi x j | x| 2 Di j + c x | x| 2 center dot. - b | x| 2, a > 0, b, c. R, and we prove sharp bounds for the heat kernel and the function.

引用

页码：467 / 514

页数：48

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