Doob's ω-transform of parabolic problem for fractional Laplacian

被引：0

作者：

Bezzarga, Mounir ^{[1
]}

Kenzizi, Tarek ^{[1
]}

Nefzi, Chaima ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis, Tunisia

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 03期

关键词：

Fractional Laplacian; heat equation; parabolic problem; DIRICHLET FORMS; BLOW-UP; EXISTENCE; EQUATIONS;

D O I：

10.1080/00036811.2021.1965580

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of nonnegative solutions for the following parabolic problem {L-omega u + partial derivative u/partial derivative t = 0, in R-d x (0, T), u(x,0) = u(0)(x), in R-d, where T > 0, L-omega is a selfadjoint operator associated with a regular Dirichlet form Q, the initial value u(0) is an element of in L-2(R-d) u(0) >= 0 is a Borel measurable function.

引用

页码：770 / 781

页数：12

共 31 条

[1]

[Anonymous], 1975, Potential Theory on Locally Compact Abelian Groups

[2]

[Anonymous], 1995, Functional Analysis, Classics in Mathematics

[3]

[Anonymous], 1983, Classical Potential Theory and Its Probabilistic Counterpart

[4] Pointwise estimates for the ground state of singular Dirichlet fractional Laplacian [J].