March/April 2012 The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions
Yuki Kurokawa, Hiroyuki Takamura, Kyouhei Wakasa
Differential Integral Equations 25(3/4): 363-382 (March/April 2012). DOI: 10.57262/die/1356012739

Abstract

In this paper we prove the blow-up theorem in the critical case for weakly coupled systems of semilinear wave equations in high dimensions. The upper bound of the lifespan of the solution is precisely clarified.

Citation

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Yuki Kurokawa. Hiroyuki Takamura. Kyouhei Wakasa. "The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions." Differential Integral Equations 25 (3/4) 363 - 382, March/April 2012. https://doi.org/10.57262/die/1356012739

Information

Published: March/April 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1265.35208
MathSciNet: MR2917887
Digital Object Identifier: 10.57262/die/1356012739

Subjects:
Primary: 35B33 , 35B44 , 35L52 , 35L71

Rights: Copyright © 2012 Khayyam Publishing, Inc.

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Vol.25 • No. 3/4 • March/April 2012
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