Decay estimates of solutions for dissipative wave equations in R^N with lower power nonlinearities
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- Ikehata Ryo IKEHATA Ryo
- Department of Mathematics Graduate School of Education Hiroshima University
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- Miyaoka Yasuaki MIYAOKA Yasuaki
- Jyosei Junior Highschool
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- Nakatake Takashi NAKATAKE Takashi
- Department of Mathematics Graduate School of Education Hiroshima University
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Author(s)
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- Ikehata Ryo IKEHATA Ryo
- Department of Mathematics Graduate School of Education Hiroshima University
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- Miyaoka Yasuaki MIYAOKA Yasuaki
- Jyosei Junior Highschool
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- Nakatake Takashi NAKATAKE Takashi
- Department of Mathematics Graduate School of Education Hiroshima University
Abstract
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>.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 56(2), 365-373, 2004-04-01
The Mathematical Society of Japan
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