Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities

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概要

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• Optimal energy decay estimates will be derived for weak solutions to the Cauchy problem in \bm{R}<SUP>N</SUP> (N=1, 2, 3) of dissipative wave equations, which have lower power nonlinearities |u|<SUP>p-1</SUP>u satisfying 1+2/N<p≤ N/[N-2]<SUP>+</SUP>.

• 社団法人 日本数学会の論文
• 2004-04-01

著者

• Ikehata Ryo

  Department Of Mathematics Faculty Of School Education Hiroshima University

• Ikehata Ryo

  Department Of Mathematics Graduate School Of Education Hiroshima University

• MIYAOKA Yasuaki

  Jyosei Junior Highschool

• NAKATAKE Takashi

  Department of Mathematics Graduate School of Education Hiroshima University

関連論文

• Remarks on the behavior of solutions to the linear wave equations inunbounded domains
• The Palais-Smale condition for the energy of some semilinear parabolic equations
• L^2-BEHAVIOUR OF SOLUTIONS TO THE LINEAR HEAT AND WAVE EQUATIONS IN EXTERIOR DOMAINS
• Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities
• ENERGY DECAY FOR THE WAVE EQUATIONS OF KIRCHHOFF TYPE WITH LINEAR DAMPING TERMS
• Optimal decay rate of the energy for wave equations with critical potential
• Optimal decay rate of the energy for wave equations with critical potential

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