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January 2008 The Parseval formula for wave equations with dissipative term of rank one
Mitsuteru Kadowaki*, Hideo Nakazawa†, Kazuo Watanabe
Author Affiliations +
SUT J. Math. 44(1): 1-22 (January 2008). DOI: 10.55937/sut/1217622011

Abstract

In this paper we show the Parseval formula (Theorem 2.5) for the generator of wave equations with some dissipative terms of rank one. Moreover we resolve the solutions for that equations into several modes by using the Parseval formula.

Citation

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Mitsuteru Kadowaki*. Hideo Nakazawa†. Kazuo Watanabe. "The Parseval formula for wave equations with dissipative term of rank one." SUT J. Math. 44 (1) 1 - 22, January 2008. https://doi.org/10.55937/sut/1217622011

Information

Received: 21 May 2007; Revised: 8 December 2007; Published: January 2008
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1217622011

Subjects:
Primary: 35P10 , 35P25

Keywords: dissipative mode , scattering mode , spectral singularity , the Parseval formula , Wave equation with dissipative term , wave operator

Rights: Copyright © 2008 Tokyo University of Science

Vol.44 • No. 1 • January 2008
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