A remark on semi-linear damped $\sigma$-evolution equations with a modulus of continuity term in nonlinearity
Analysis of PDEs
2019-04-18 v3
Abstract
In this article, we indicate that under suitable assumptions of a modulus of continuity we obtain either the global (in time) existence of small data Sobolev solutions or the blow-up result of local (in time) Sobolev solutions to semi-linear damped -evolution equations with a modulus of continuity term in nonlinearity.
Keywords
Cite
@article{arxiv.1904.00698,
title = {A remark on semi-linear damped $\sigma$-evolution equations with a modulus of continuity term in nonlinearity},
author = {Tuan Anh Dao and Michael Reissig},
journal= {arXiv preprint arXiv:1904.00698},
year = {2019}
}
Comments
20 pages