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

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

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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 clariéd.

Original language	English
Pages (from-to)	363-382
Number of pages	20
Journal	Differential and Integral Equations
Volume	25
Issue number	3-4
Publication status	Published - 2012 Mar

Cite this

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

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 clari{\'e}d.",

author = "Yuki Kurokawa and Hiroyuki Takamura and Kyouhei Wakasa",

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T1 - The blow-up and lifespan of solutions to systems of semilinear wave equation with critical exponents in high dimensions

AU - Kurokawa, Yuki

AU - Takamura, Hiroyuki

AU - Wakasa, Kyouhei

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N2 - 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 clariéd.

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SP - 363

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JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 3-4

ER -

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

Abstract

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