Solvability of Boundary Value Problems for Poisson’s Equation in Unbounded Domains on Noncompact Riemannian Manifolds

Differential Equations ◽

10.1134/s0012266120030052 ◽

2020 ◽

Vol 56 (3) ◽

pp. 324-329

Author(s):

E. A. Mazepa

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Boundary Value ◽

Unbounded Domains ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Noncompact Riemannian Manifolds

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On the solvability of boundary value problems for the stationary Schrödinger equation in unbounded domains on Riemannian manifolds

Differential Equations ◽

10.1134/s001226611506004x ◽

2015 ◽

Vol 51 (6) ◽

pp. 738-744 ◽

Author(s):

S. A. Korol’kov

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problems ◽

Riemannian Manifolds ◽

Schrodinger Equation ◽

Boundary Value ◽

Unbounded Domains ◽

Stationary Schrödinger Equation

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Calculation of the boundary derivatives of the solutions of the first and second boundary-value problems for Poisson's equation

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90105-8 ◽

1994 ◽

Vol 58 (3) ◽

pp. 551-557

Author(s):

A.A. Kosmodem'yanskii

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Poisson’S Equation ◽

Poisson's Equation ◽

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On solvability of the boundary value problems for the inhomogeneous elliptic equations on noncompact Riemannian manifolds

Issues of Analysis ◽

10.15393/j3.art.2018.5330 ◽

2018 ◽

Vol 25 (0) ◽

pp. 101-112 ◽

Author(s):

A. G. Losev ◽

E. A. Mazepa

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Elliptic Equations ◽

Boundary Value ◽

Noncompact Riemannian Manifolds

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BOUNDARY VALUE PROBLEMS: THE SOLUTIONS TO LAPLACE'S EQUATION AND POISSON'S EQUATION

Intermediate Electromagnetic Theory ◽

10.1142/9789812810410_0003 ◽

2001 ◽

pp. 111-196

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Poisson’S Equation ◽

Laplace’S Equation ◽

Poisson's Equation ◽

Laplace's Equation

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Residual Cutting Method for Elliptic Boundary Value Problems. Application to Poisson's Equation.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.62.4076 ◽

1996 ◽

Vol 62 (604) ◽

pp. 4076-4083 ◽

Author(s):

Atsuhiro TAMURA ◽

Kazuo KIKUCHI ◽

Tadayasu TAKAHASHI

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Cutting Method ◽

Elliptic Boundary Value

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Construction of polynomial solutions to some boundary value problems for Poisson’s equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542511090120 ◽

2011 ◽

Vol 51 (9) ◽

pp. 1567-1587 ◽

Author(s):

V. V. Karachik

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Polynomial Solutions

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The liouville property and boundary value problems for semilinear elliptic equations on noncompact Riemannian manifolds

Siberian Mathematical Journal ◽

10.1134/s0037446612010119 ◽

2012 ◽

Vol 53 (1) ◽

pp. 134-145 ◽

Author(s):

E. A. Mazepa

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Elliptic Equations ◽

Boundary Value ◽

Semilinear Elliptic Equations ◽

Liouville Property ◽

Semilinear Elliptic ◽

Noncompact Riemannian Manifolds

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ON SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR SOLUTIONS OF THE STATIONARY SCHRODINGER EQUATION ON UNBOUNDED DOMAINS OF RIEMANNIAN MANIFOLDS

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v97i2.12 ◽

2014 ◽

Vol 97 (2) ◽

Author(s):

E. Korolkova ◽

S. Korolkov ◽

A. Svetlov

Keyword(s):

Schrödinger Equation ◽

Boundary Value Problems ◽

Riemannian Manifolds ◽

Schrodinger Equation ◽

Boundary Value ◽

Unbounded Domains ◽

Stationary Schrödinger Equation

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On the numerical solution of n-dimensional boundary value problems associated with poisson's equation

Journal of the Franklin Institute ◽

10.1016/0016-0032(58)90307-7 ◽

1958 ◽

Vol 266 (5) ◽

pp. 365-371

Author(s):

Donald Greenspan

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Dimensional Boundary

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Generalized Solutions to Boundary-Value Problems for Quasilinear Elliptic Equations on Noncompact Riemannian Manifolds

Russian Mathematics ◽

10.3103/s1066369x18010073 ◽

2018 ◽

Vol 62 (1) ◽

pp. 50-57

Author(s):

E. A. Mazepa

Keyword(s):

Boundary Value Problems ◽

Riemannian Manifolds ◽

Elliptic Equations ◽

Boundary Value ◽

Generalized Solutions ◽

Quasilinear Elliptic Equations ◽

Noncompact Riemannian Manifolds ◽

Quasilinear Elliptic

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