Shun-Tang Wu
Abstract:
We study the initial-boundary value problem for a system of
nonlinear wave equations, involving nonlinear damping terms,
in a bounded domain
with the initial and Dirichlet
boundary conditions. The nonexistence of global solutions is
discussed under some conditions on the given parameters.
Estimates on the lifespan of solutions are also given.
Submitted February 17, 2009. Published September 1, 2009.
Math Subject Classifications: 35L70.
Key Words: Nonlinear damping; wave equation; blow-up; lifespan.
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Shun-Tang Wu General Education Center National Taipei University of Technology Taipei, 106, Taiwan email: stwu@ntut.edu.tw |
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