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arXiv · 0801.0369

Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems

Irina Kmit
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Abstract

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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Irina Kmit. 2008-01-02. Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems. https://doi.org/10.1504/ijdsde.2008.019680

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