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

Ryo Ikehata; Yasuaki Miyaoka; Takashi Nakatake

Journal ArticleOPEN ACCESS

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

Ikehata R
Miyaoka Y
Nakatake T

Journal of the Mathematical Society of Japan (2004) 56(2) 365-373

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 RN(N = 1, 2, 3) of dissipative wave equations, which have lower power nonlinearities |u|p-1u satisfying 1+2/N

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Ikehata, R., Miyaoka, Y., & Nakatake, T. (2004). Decay estimates of solutions for dissipative wave equations in RN with lower power nonlinearities. Journal of the Mathematical Society of Japan, 56(2), 365–373. https://doi.org/10.2969/jmsj/1191418635

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

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Exponential decay for the semilinear wave equation with locally distributed damping

Critical exponent for a nonlinear wave equation with damping

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