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Blow-up of solutions to semilinear wave equations with variable coefficients and boundary |
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| Authors: | Yi Zhou Wei Han |
| Institution: | a School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China b Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai 200433, PR China c Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai 200433, PR China d Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, PR China |
| Abstract: | This paper is devoted to studying initial-boundary value problems for semilinear wave equations and derivative semilinear wave equations with variable coefficients on exterior domain with subcritical exponents in n space dimensions. We will establish blow-up results for the initial-boundary value problems. It is proved that there can be no global solutions no matter how small the initial data are, and also we give the life span estimate of solutions for the problems. |
| Keywords: | Semilinear wave equation Critical exponent Initial-boundary value problem Blow-up |
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