Gradient Estimates for Elliptic Operators with Second-Order Discontinuous Coefficients

被引：8

作者：

Metafunee, 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：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 06期

关键词：

Elliptic operators; discontinuous coefficients; analytic semigroups; kernel estimates;

D O I：

10.1007/s00009-019-1415-x

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 = Delta + (a - 1) Sigma(N)(i,j=1) x(i)x(j)/vertical bar x vertical bar(2) D-ij + cx/vertical bar x vertical bar(2) . del - b/vertical bar x vertical bar(2), a > 0, b, c is an element of R and we prove gradient estimates for the heat kernel.

引用

页数：22