ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR THE POISSON EQUATION ON MODEL RIEMANNIAN MANIFOLDS

被引：0

作者：

Losev, A. G. ^{[1
]}

Mazepa, E. A. ^{[1
]}

机构：

[1] Volgograd State Univ, 100 Univ Sky Ave, Volgograd 400062, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2022年 / 19卷 / 01期

关键词：

Dirichlet problem; Poisson equation; model Riemannian manifold; asymptotic behavior; INFINITY; EIGENFUNCTIONS;

D O I：

10.33048/semi.2022.19.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to estimating the speed of approximation of solutions of the Dirichlet problem for the Poisson equation on non-compact model Riemannian manifolds to their boundary data at "infinity". Quantitative characteristics that estimate the speed of the approximation are found in terms of the metric of the manifold and the smoothness of the inhomogeneity in the Poisson equation.

引用

页码：66 / 80

页数：15

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