Energy decay for small solutions to semilinear wave equations with weakly dissipative structure

Yoshinori Nishii; Hideaki Sunagawa; Hiroki Terashita

doi:10.2969/jmsj/84148414

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure

Yoshinori Nishii, Hideaki Sunagawa, Hiroki Terashita

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Keywords: semilinear wave equations, energy decay, weakly dissipative structure

JOURNAL FREE ACCESS

2021 Volume 73 Issue 3 Pages 767-779

DOI https://doi.org/10.2969/jmsj/84148414

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Abstract

This article gives an energy decay result for small data solutions to a class of semilinear wave equations in two space dimensions possessing weakly dissipative structure relevant to the Agemi condition.

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