Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems (Q960312)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems |
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Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems (English)
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17 December 2008
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Summary: 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).
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nonlinear boundary conditions
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non-Lipschitz nonlinearities
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regular cases
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singular cases
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