The blow-up rate for strongly perturbed semilinear wave equations
Analysis of PDEs
2015-06-18 v1
Abstract
We consider in this paper a large class of perturbed semilinear wave equation with subconformal power nonlinearity. In particular, we allow log perturbations of the main source. We derive a Lyapunov functional in similarity variables and use it to derive the blow-up rate. Throughout this work, we use some techniques developed for the unperturbed case studied by Merle and Zaag [12] together with ideas introduced by Hamza and Zaag in [5] for a class of weather perturbations.
Keywords
Cite
@article{arxiv.1311.7479,
title = {The blow-up rate for strongly perturbed semilinear wave equations},
author = {Mohamed-Ali Hamza and Omar Saidi},
journal= {arXiv preprint arXiv:1311.7479},
year = {2015}
}
Comments
17 pages. arXiv admin note: substantial text overlap with arXiv:1002.2328