Geodesic
Non-classic 3D Goursat Problem for One Hyperbolic Equation with~Discontinuous Coefficients
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 209-213

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For a differential equation of hyperbolic type with discontinuous coefficients a 3D Goursat problem with nonclassical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions boundary condition is substantiated classical, in the case if the solution of the problem in the anisotropic S. L. Sobolev's space is found.
Keywords: hyperbolic equation, equation with discontinuous coefficients.
Mots-clés : 3D Goursat problem 
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     author = {I. G. Mamedov},
     title = {Non-classic {3D} {Goursat} {Problem} for {One} {Hyperbolic} {Equation} {with~Discontinuous} {Coefficients}},
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I. G. Mamedov. Non-classic 3D Goursat Problem for One Hyperbolic Equation with~Discontinuous Coefficients. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 209-213. http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a23/