Boundary-value problems for a nonlinear hyperbolic equation with divergent part and Levy Laplacian

We propose an algorithm for the solution of the boundary-value problem $U(0,x) = u_0,\;\; U(t, 0) = u_1$ and the external boundary-value problem $U(0, x) = v_0, \;\;U(t, x) |_{\Gamma} = v_1, \;\; \lim_{||x||_H \rightarrow \infty} U(t, x) = v_2$ for the nonlinear hyperbolic equation $$\frac{\partial}...

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Bibliographic Details
Date:2012
Main Authors: Feller, M. N., Феллер, М. Н.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2012
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2570
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal