Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficients
Analysis of PDEs
2021-07-12 v2
Abstract
We consider a nonlinear wave equation with nonconstant coefficients. In particular, the coefficient in front of the second order space derivative is degenerate. We give the blow-up behavior and the regularity of the blow-up set. Partial results are given at the origin, where the degeneracy occurs. Some nontrivial obstacles, due to the nonconstant speed of propagation, have to be surmounted.
Keywords
Cite
@article{arxiv.1908.02081,
title = {Classification of the blow-up behavior for a semilinear wave equation with nonconstant degenerate coefficients},
author = {Asma Azaiez and Hatem Zaag},
journal= {arXiv preprint arXiv:1908.02081},
year = {2021}
}