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On existence and uniqueness of a classical solution of mixed problem for singular hyperbolic equation, with Bessel operator

Annotation

The mixed problem for a singular hyperbolic equation with Bessel operator in bounded domain is considered. Sufficient conditions on boundary area, on initial functions, on function in a right part of this equation are received. These conditions ensure existence of a unique classical solution of a given problem, and allow to use classical Fourier method for its solution.

Keywords

Bessel operator; hyperbolic operator; singular operator

UDC

517.958

Pages

1342-1360

Received

10.04.2009

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