Decay estimates of solutions for dissipative wave equations in RN with lower power nonlinearities

Ryo IKEHATA; Yasuaki MIYAOKA; Takashi NAKATAKE

doi:10.2969/jmsj/1191418635

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Home > Journals > J. Math. Soc. Japan > Volume 56 > Issue 2 > Article

April, 2004 Decay estimates of solutions for dissipative wave equations in

R^{N}

with lower power nonlinearities

Ryo IKEHATA, Yasuaki MIYAOKA, Takashi NAKATAKE

J. Math. Soc. Japan 56(2): 365-373 (April, 2004). DOI: 10.2969/jmsj/1191418635

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Abstract

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

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Ryo IKEHATA. Yasuaki MIYAOKA. Takashi NAKATAKE. "Decay estimates of solutions for dissipative wave equations in $R^{N}$ with lower power nonlinearities." J. Math. Soc. Japan 56 (2) 365 - 373, April, 2004. https://doi.org/10.2969/jmsj/1191418635