Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2008
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| _version_ | 1866911309620051968 |
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| author | Kmit, Irina |
| author_facet | Kmit, Irina |
| contents | We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a frontier between regular cases (classical solvability) and singular cases (blow-up of solutions). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0801_0369 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems Kmit, Irina Analysis of PDEs We prove the global classical solvability of initial-boundary problems for semilinear first-order hyperbolic systems subjected to local and nonlocal nonlinear boundary conditions. We also establish lower bounds for the order of nonlinearity demarkating a frontier between regular cases (classical solvability) and singular cases (blow-up of solutions). |
| title | Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/0801.0369 |