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Global nonexistence of positive initial energy solution for coupled quasilinear system
Author(s) -
Zhang Xiaoying,
Chai Shugen,
Wu Jieqiong
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4393
Subject(s) - mathematics , dirichlet boundary condition , energy (signal processing) , boundary value problem , mathematical analysis , boundary (topology) , dirichlet distribution , energy method , statistics
In this paper, we consider global nonexistence of a solution for coupled quasilinear system with damping and source under Dirichlet boundary condition. We obtain a global nonexistence result of solution by using the perturbed energy method, where the initial energy is assumed to be positive. Copyright © 2017 John Wiley & Sons, Ltd.