Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
by Irina Kmit
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 3, 2008

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).

Online publication date: Sun, 20-Jul-2008

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