Blow up of the Solutions of Nonlinear Wave Equation
© Svetlin Georgiev Georgiev 2007
Received: 14 March 2007
Accepted: 26 May 2007
Published: 14 August 2007
We construct for every fixed the metric , where , , , , are continuous functions, , for which we consider the Cauchy problem , where , ; , , where , , , , , , and are positive constants. When , we prove that the above Cauchy problem has a nontrivial solution in the form for which . When , we prove that the above Cauchy problem has a nontrivial solution in the form for which .
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