ELLIPTIC AND PARABOLIC EQUATIONS WITH DIRICHLET CONDITIONS AT INFINITY ON RIEMANNIAN MANIFOLDS

被引：0

作者：

Mastrolia, P. ^{[1
]}

Monticelli, D. D. ^{[2
]}

Punzo, F. ^{[2
]}

机构：

[1] Univ Milan, Dip Matemat, Via Saldini 50, I-20133 Milan, Italy

[2] Politecn Milan, Dip Matemat, Via Bonardi 9, I-20133 Milan, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2018年 / 23卷 / 1-2期

关键词：

POSITIVE CAUCHY-PROBLEM; BROWNIAN-MOTION; HARMONIC-FUNCTIONS; NONUNIQUENESS; UNIQUENESS; RECURRENCE; EXPLOSION; CURVATURE; GEODESICS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate existence and uniqueness of bounded solutions of parabolic equations with unbounded coefficients in M x R+, where M is a complete noncompact Riemannian manifold. Under specific assumptions, we establish existence of solutions satisfying prescribed conditions at infinity, depending on the direction along which infinity is approached. We consider also elliptic equations on M with similar conditions at infinity.

引用

页码：89 / 108

页数：20

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