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Averaging of the Dirichlet problem for a special hyperbolic Kirchhoff equation

We prove a statement on the averaging of a hyperbolic initial-boundary-value problem in which the coefficient of the Laplace operator depends on the space $L^2$-norm of the gradient of the solution. The existence of the solution of this problem was studied by Pokhozhaev. In a space domain in $ℝ^n,\;...

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Bibliographic Details
Date:	2006
Main Authors:	Sidenko, N. R., Сиденко, Н. Р.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3449
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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