On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator

Abdelfatah Bouziani

Journal of Applied Mathematics, 2003, vol. 2003, issue 10, 487-502

Abstract: We consider a mixed problem with Dirichlet and integral conditions for a second‐order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.

Date: 2003
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https://doi.org/10.1155/S1110757X03204034

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2003:y:2003:i:10:p:487-502

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