Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7216126 | Comptes Rendus Mécanique | 2018 | 6 Pages |
Abstract
This paper deals with blow-up solutions to a nonlinear hyperbolic equation with variable exponent of nonlinearities. By constructing a new control function and using energy inequalities, the authors obtain the lower bound estimate of the L2 norm of the solution. Furthermore, the concavity arguments are used to prove the nonexistence of solutions; at the same time, an estimate of the upper bound of blow-up time is also obtained. This result extends and improves those of [1], [2].
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Fang Li, Fang Liu,