Shun-Tang Wu Abstract: The initial boundary value problem for a system of nonlinear Klein-Gordon equations in a bounded domain is considered. We prove the existence of local solutions by using a successive approximation method. Then, we show blow-up results with arbitrary positive initial energy by a concavity method. Also estimates for the lifespan of solutions are given.
Submitted February 24, 2012. Published June 7, 2012.
Math Subject Classifications: 35L05, 35L15, 35L70.
Key Words: Blow-up; life span; damping; nonlinear wave equations; Klein-Gordon equation.
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| Shun-Tang Wu |
General Education Center
National Taipei University of Technology
Taipei, 106 Taiwan
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