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Title of Article

EXISTENCE AND UNIQUENESS OF A SOLUTION TO A HOMOGENEOUS DIRICHLET INITIAL-BOUNDARY VALUE PROBLEM FOR A SEMILINEAR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION IN DIVERGENCE FORM


Issue
1
Date
2012

Section
MATHEMATICS

Article type
scientific article
UDC
517.95:517.97
Pages
104-111
Keywords
partial differential equations, initial-boundary value problems


Authors
Gavrilov Vladimir Sergeevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
Existence and uniqueness of an energetic solution to a homogeneous first initial-boundary value problem is proved for a semilinear hyperbolic partial differential equation in divergence form.

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