Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

Vladimir Simeonov Gueorguiev, Hideo Kubo, Kyouhei Wakasa

研究成果: Article

抄録

We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.

元の言語English
ジャーナルJournal of Differential Equations
DOI
出版物ステータスPublished - 2019 1 1

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Damped Wave Equation
Nonlinear Wave Equation
Wave equations
Critical Exponents
Damping
Non-negative
Wave equation
Coefficient
Nonlinear Problem
Cauchy Problem
Jump
Exponent
Interaction

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

これを引用

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abstract = "We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.",
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AU - Kubo, Hideo

AU - Wakasa, Kyouhei

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AB - We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.

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