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

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).

12 pages

References in corpus (1)

• Generalized Solutions to Hyperbolic Systems with Nonlinear Conditions and Strongly Singular Data

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