English

A modified test function method for damped waves

Analysis of PDEs 2013-09-17 v1

Abstract

In this paper we use a modified test function method to derive nonexistence results for the semilinear wave equation with time-dependent speed and damping. The obtained critical exponent is the same exponent of some recent results on global existence of small data solution.

Keywords

Cite

@article{arxiv.1211.0453,
  title  = {A modified test function method for damped waves},
  author = {Marcello D'Abbicco and Sandra Lucente},
  journal= {arXiv preprint arXiv:1211.0453},
  year   = {2013}
}
R2 v1 2026-06-21T22:32:08.440Z