Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients
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 o...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2010-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu691 |
| _version_ | 1818277764300537856 |
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| author | I. G. Mamedov |
| author_facet | I. G. Mamedov |
| author_sort | I. G. Mamedov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T23:06:43Z |
| format | Article |
| id | doaj.art-80e795bac30f4681beba27e6087a05e7 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:06:43Z |
| publishDate | 2010-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-80e795bac30f4681beba27e6087a05e72022-12-22T00:08:42ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812010-03-011(20)20921310.14498/vsgtu691Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous CoefficientsI. G. MamedovFor 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.http://mi.mathnet.ru/eng/vsgtu691 |
| spellingShingle | I. G. Mamedov Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients |
| title_full | Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients |
| title_fullStr | Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients |
| title_full_unstemmed | Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients |
| title_short | Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients |
| title_sort | non classic 3d goursat problem for one hyperbolic equation with discontinuous coefficients |
| url | http://mi.mathnet.ru/eng/vsgtu691 |
| work_keys_str_mv | AT igmamedov nonclassic3dgoursatproblemforonehyperbolicequationwithdiscontinuouscoefficients |