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

共 12 条

[1]

[Anonymous], 1964, HDB MATH FUNCTIONS F

[2] Brownian motion in cones [J].

Banuelos, R ;

Smits, RG .

PROBABILITY THEORY AND RELATED FIELDS, 1997, 108 (03) :299-319

[3]

Baricz A, 2009, P AM MATH SOC, V137, P189

[4] Heat kernel estimates for the Bessel differential operator in half-line [J].

Bogus, Kamil ;

Malecki, Jacek .

MATHEMATISCHE NACHRICHTEN, 2016, 289 (17-18) :2097-2107

[5]

Garrett P, HARMONIC ANAL SPHERE

[6]

Garrett P., Harmonic analysis on spheres

[7]

Levin B.Y., 1996, Lectures on Entire Functions

[8]

Lunardi A., 2012, ANAL SEMIGROUPS OPTI

[9] Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients [J].

Metafune, G. ;

Negro, L. ;

Spina, C. .

JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (02) :467-514

[10] Kernel estimates for elliptic operators with second-order discontinuous coefficients [J].

Metafune, G. ;

Sobajima, M. ;

Spina, C. .

JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (01) :485-522

← 1 2 →