Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity

Details Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity

2005-05-18

arxiv.org/abs/math-ph/0505045v2

Physics

Mathematical Physics

13 pages, 2 figures

Scientific paper

We give sufficient conditions on the initial data so that a semilinear wave
inequality blows-up in finite time. Our method is based on the study of an
associated second order differential inequality. The same method is applied to
some semilinear systems of mixed type.

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