Differential and Integral Equations

The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

Yuki Kurokawa, Hiroyuki Takamura, and Kyouhei Wakasa

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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.

Article information

Source
Differential Integral Equations, Volume 25, Number 3/4 (2012), 363-382.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356012739

Mathematical Reviews number (MathSciNet)
MR2917887

Zentralblatt MATH identifier
1265.35208

Subjects
Primary: 35L71: Semilinear second-order hyperbolic equations 35L52: Initial value problems for second-order hyperbolic systems 35B33: Critical exponents 35B44: Blow-up

Citation

Kurokawa, Yuki; Takamura, Hiroyuki; Wakasa, Kyouhei. The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions. Differential Integral Equations 25 (2012), no. 3/4, 363--382. https://projecteuclid.org/euclid.die/1356012739


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