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On some boundary value problems for a system of Poisson equations in a three-dimensional domain

On some boundary value problems for a system of Poisson equations in a three-dimensional domain For a system of Poisson equations in a three-dimensional domain, we consider two nonstandard problems with vector boundary conditions. On the basis of inequalities of the Friedrichs type, we show that these problems are well posed in the Hadamard-Petrovskii sense. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On some boundary value problems for a system of Poisson equations in a three-dimensional domain

Differential Equations , Volume 49 (5) – Jul 12, 2013

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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2013 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266113050066
Publisher site
See Article on Publisher Site

Abstract

For a system of Poisson equations in a three-dimensional domain, we consider two nonstandard problems with vector boundary conditions. On the basis of inequalities of the Friedrichs type, we show that these problems are well posed in the Hadamard-Petrovskii sense.

Journal

Differential EquationsSpringer Journals

Published: Jul 12, 2013

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