A quasi-linear evolution equation and the method of Galerkin-Reference-Cited by-同舟云学术

A quasi-linear evolution equation and the method of Galerkin

Published:1973 Issue:1 Volume:37 Page:149-156
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dickey R. W.

Abstract

In this paper it is shown that under specified conditions on the initial data a certain infinite coupled system of ordinary differential equations has a solution satisfying an auxiliary convergence condition. The infinite system discussed is essentially the Galerkin expansion of the solution to a given quasi-linear wave equation. The results obtained suffice to prove the existence of a solution to this wave equation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-037-01/S0002-9939-1973-0308620-3/S0002-9939-1973-0308620-3.pdf

Reference9 articles.

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4. Infinite systems of nonlinear oscillation equations related to the string;Dickey, R. W.;Proc. Amer. Math. Soc.,1969

5. Initial-boundary value problems for an extensible beam;Ball, J. M.;J. Math. Anal. Appl.,1973

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