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2020 Energy decay for small solutions to semilinear wave equations with weakly dissipative structure
Yoshinori NISHII, Hideaki SUNAGAWA, Hiroki TERASHITA
J. Math. Soc. Japan Advance Publication 1-13 (2020). DOI: 10.2969/jmsj/84148414

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.

Funding Statement

The work of the second author is supported by Grant-in-Aid for Scientific Research (C) (No. 17K05322), JSPS. This work is partly supported by Osaka City University Advanced Mathematical Institure (MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849).

Citation

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Yoshinori NISHII. Hideaki SUNAGAWA. Hiroki TERASHITA. "Energy decay for small solutions to semilinear wave equations with weakly dissipative structure." J. Math. Soc. Japan Advance Publication 1 - 13, 2020. https://doi.org/10.2969/jmsj/84148414

Information

Received: 30 January 2020; Published: 2020
First available in Project Euclid: 1 December 2020

Digital Object Identifier: 10.2969/jmsj/84148414

Subjects:
Primary: 35L71
Secondary: 35B40

Rights: Copyright © 2020 Mathematical Society of Japan

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