%0 Journal Article
%T Classical solvability of nonlinear initial-boundary problems for first-order hyperbolic systems
%A Irina Kmit
%J Mathematics
%D 2008
%I arXiv
%X 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).
%U http://arxiv.org/abs/0801.0369v1