2008•Differential EquationsRequires access

Initial-boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation

Ludmila Stepanovna Pulkina

Abstract

We consider a mixed initial-boundary value problem for a multidimensional (with respect to the space variables) hyperbolic equation with a nonlocal boundary condition containing an integral of the desired solution. We prove the unique solvability of the problem in the space W 2 1 .

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Key concepts: Mathematics, Boundary value problem, Mathematical analysis, Hyperbolic partial differential equation, Partial differential equation, Mixed boundary condition, Space (punctuation), Free boundary problem