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http://dx.doi.org/10.4134/BKMS.2014.51.6.1697

GLOBAL EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR COUPLED NONLINEAR WAVE EQUATIONS WITH DAMPING AND SOURCE TERMS  

Ye, Yaojun (Department of Mathematics and Information Science Zhejiang University of Science and Technology)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.6, 2014 , pp. 1697-1710 More about this Journal
Abstract
The initial-boundary value problem for a class of nonlinear higher-order wave equations system with a damping and source terms in bounded domain is studied. We prove the existence of global solutions. Meanwhile, under the condition of the positive initial energy, it is showed that the solutions blow up in the finite time and the lifespan estimate of solutions is also given.
Keywords
systems of nonlinear wave equations; damping and source terms; global solutions; blow-up; lifespan of solutions;
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