English

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

Mathematical Physics 2007-05-23 v2 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0505045,
  title  = {Blow-up results for some second order hyperbolic inequalities with a nonlinear term with respect to the velocity},
  author = {M. Jazar and R. Kiwan},
  journal= {arXiv preprint arXiv:math-ph/0505045},
  year   = {2007}
}

Comments

13 pages, 2 figures