Blow up of the Solutions of Nonlinear Wave Equation

We construct for every fixed n≥2 the metric gs=h1(r)dt2−h2(r)dr2−k1(É)dÉ12−⋯−kn−1(É)dÉn−12, where h1(r), h2(r), ki(É), 1≤i≤n−1, are continuous functions, r=|x|, for which we consider the Cauchy problem (utt−Δu)gs=f(u)+g(|x|),...

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Bibliographic Details
Main Author: Svetlin Georgiev Georgiev
Format: Article
Language:English
Published: SpringerOpen 2007-08-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/42954