Cauchy-Goursat Problem for One-Dimensional Semilinear Wave Equations

Author: Jokhadze O.  

Publisher: Taylor & Francis Ltd

ISSN: 0360-5302

Source: Communications in Partial Differential Equations, Vol.34, Iss.4, 2009-04, pp. : 367-382

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Abstract

We consider the initial-characteristic problem for nonlinear wave equations with positive power nonlinearity source term. Depending on the power of nonlinearity, we investigate the problem on a global existence and blow-up of solutions of initial-characteristic problem. The question on local solvability of the problem is also considered.