Certain nonlocal problem for a degenerate hyperbolic equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1992 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes, volume 51, pages 286-290 (issn: 0001-4346, eissn: 1573-8876,

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Authors: Pul'kina, L. S.;

doi: 10.1007/bf01206393

Certain nonlocal problem for a degenerate hyperbolic equation

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Abstract

The equation \((*)\) \(| y|^ m u_{xx}- u_{yy}=0\), \(m>0\) is considered in a domain bounded by characteristics of \((*)\). Values of integrals of \(u\) along characteristics are given. The author proves uniqueness and existence of the solution to the problem mentioned above.

Related Organizations

Samara State University
Russian Federation
Samara State Aerospace University
Russian Federation

Keywords

degenerate hyperbolic equation, Degenerate hyperbolic equations, General existence and uniqueness theorems (PDE)

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