Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709768 | Applied Mathematics Letters | 2008 | 6 Pages |
Abstract
This work presents the finite-time blow-up of solutions to the equation utt−Δu=a−k|u|p,utt−Δu=a−k|u|p, in the Minkowski space. We extend the previous result of Belchev, Kepka and Zhou [E. Belchev, M. Kepka, Z. Zhou, Finite-time blow-up of solutions to semilinear wave equations, J. Funct. Anal. 190 (1) (2002) 233–254] comprehensively. Due to a modification of the so-called method of conformal compactification used by Belchev, Kepka and Zhou, we show that the solutions blow up in finite time with more relaxed initial data and extended index pp.
Related Topics
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Authors
Xuefei Liu, Yong Zhou,