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| 第一著者: | |
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| フォーマット: | Preprint |
| 出版事項: |
2005
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| 主題: | |
| オンライン･アクセス: | https://arxiv.org/abs/math/0504076 |
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| _version_ | 1866914190262796288 |
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| author | Kmit, Irina |
| author_facet | Kmit, Irina |
| contents | Using the framework of Colombeau algebras of generalized functions, we prove the existence and uniqueness results for global generalized solvability of semilinear hyperbolic systems with nonlinear nonlocal boundary conditions. We admit strong singularities in the differential equations as well as in the initial and boundary conditions. Our analysis covers the case of non-Lipshitz nonlinearities both in the differential equations and in the boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0504076 |
| institution | arXiv |
| publishDate | 2005 |
| record_format | arxiv |
| spellingShingle | Generalized Solutions to Hyperbolic Systems with Nonlinear Conditions and Strongly Singular Data Kmit, Irina Analysis of PDEs 35L50, 35L67, 35D05 Using the framework of Colombeau algebras of generalized functions, we prove the existence and uniqueness results for global generalized solvability of semilinear hyperbolic systems with nonlinear nonlocal boundary conditions. We admit strong singularities in the differential equations as well as in the initial and boundary conditions. Our analysis covers the case of non-Lipshitz nonlinearities both in the differential equations and in the boundary conditions. |
| title | Generalized Solutions to Hyperbolic Systems with Nonlinear Conditions and Strongly Singular Data |
| topic | Analysis of PDEs 35L50, 35L67, 35D05 |
| url | https://arxiv.org/abs/math/0504076 |