On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations
Author(s) -
S. Kharibegashvili
Publication year - 2005
Publication title -
boundary value problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 38
eISSN - 1687-2770
pISSN - 1687-2762
DOI - 10.1155/bvp.2005.359
Subject(s) - mathematics , hyperbolic partial differential equation , cauchy problem , nonlinear system , initial value problem , ordinary differential equation , cone (formal languages) , mathematical analysis , partial differential equation , d'alembert's formula , differential equation , differential algebraic equation , physics , quantum mechanics , algorithm
For wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future
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