On the Solvability of Boundary Value Problems for the Inhomogeneous Schrodinger Equation on Model Riemannian Manifolds

被引：0

作者：

Losev, A. ^{[1
]}

Mazepa, E. ^{[1
]}

机构：

[1] Volgograd State Univ, Inst Math & Informat Technol, Volgograd 400062, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 03期

关键词：

Dirichlet problem; nonhomogeneous elliptic equations; model Riemannian manifold; asymptotic behavior of the solutions; DIRICHLET PROBLEM; POISSON EQUATION; INFINITY;

D O I：

10.1134/S1995080222060208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the asymptotic behavior of solutions of the inhomogeneous stationary Schrodinger equation on non-compact model Riemannian manifolds. Exact conditions for the unique solvability of the Dirichlet problem for the equation with continuous boundary data at <> and some other boundary value problems are found.

引用

页码：642 / 652

页数：11

共 20 条

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