Geodesic
The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 48-55

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This paper proves the unique solvability of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation, which is the generalization of the Dirichlet and Poincare problems. We also obtain the criterion for the uniqueness of the regular solution.
Keywords: multi-dimensional wave equation, cylindrical domain, local boundary value problem, solvability, uniqueness of solutions. 
@article{VSGTU_2012_4_a4,
     author = {S. A. Aldashev},
     title = {The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {48--55},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a4/}
}
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S. A. Aldashev. The well-posedness of the local boundary value problem in a cylindric domain for the multi-dimensional wave equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 48-55. http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a4/