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Unique solvability of the Dirichlet problem for an ultrahyperbolic equation in a ball

Unique solvability of the Dirichlet problem for an ultrahyperbolic equation in a ball We obtain a criterion in terms of zeros of Jacobi polynomials for the uniqueness of the solution of the first boundary value problem for an ultrahyperbolic equation in a ball. The nonuniqueness in the Dirichlet problem proves to occur if and only if the coefficient of the equation belongs to a countable dense subset of the real line. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Unique solvability of the Dirichlet problem for an ultrahyperbolic equation in a ball

Burskii, V.; Kirichenko, E.
Differential Equations , Volume 44 (4) – Jul 22, 2008
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References (3)

Publisher
Springer Journals
Copyright
Copyright © 2008 by MAIK Nauka
Subject
Mathematics; Difference and Functional Equations; Partial Differential Equations; Ordinary Differential Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266108040046
Publisher site
See Article on Publisher Site

Abstract

We obtain a criterion in terms of zeros of Jacobi polynomials for the uniqueness of the solution of the first boundary value problem for an ultrahyperbolic equation in a ball. The nonuniqueness in the Dirichlet problem proves to occur if and only if the coefficient of the equation belongs to a countable dense subset of the real line.

Journal

Differential Equations – Springer Journals

Published: Jul 22, 2008

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