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

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

2008-01-02

arxiv.org/abs/0801.0369v1

Mathematics

Analysis of PDEs

12 pages

Scientific paper

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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