Translator Disclaimer
July 2016 A new example of the dissipative wave equations with the total energy decay
Hideo Ueda
Hiroshima Math. J. 46(2): 187-193 (July 2016). DOI: 10.32917/hmj/1471024948

Abstract

This note gives a new sufficient condition of the total energy decay for the solutions of the initial-boundary value problems to the dissipative wave equations in exterior domains with non-compactly supported initial data. That condition provides an example of the damping terms of the dissipative wave equations with the total energy decay which has a smaller amplitude than those of all examples derived from a sufficient condition in Mochizuki and Nakazawa [Publ. Res. Inst. Math. Sci. 32 (1996), 401–414].

Citation

Download Citation

Hideo Ueda. "A new example of the dissipative wave equations with the total energy decay." Hiroshima Math. J. 46 (2) 187 - 193, July 2016. https://doi.org/10.32917/hmj/1471024948

Information

Received: 13 May 2015; Revised: 15 March 2016; Published: July 2016
First available in Project Euclid: 12 August 2016

zbMATH: 1356.35123
MathSciNet: MR3536995
Digital Object Identifier: 10.32917/hmj/1471024948

Subjects:
Primary: 35L05
Secondary: 35L20

Rights: Copyright © 2016 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.46 • No. 2 • July 2016
Back to Top