The Parseval formula for wave equations with dissipative term of rank one-Reference-Cited by-同舟云学术

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The Parseval formula for wave equations with dissipative term of rank one

Published:2008-01-01 Issue:1 Volume:44 Page:
ISSN:0916-5746
Container-title:SUT Journal of Mathematics
language:
Short-container-title:SUT J. Math.

Author:

Kadowaki* Mitsuteru¹,Nakazawa† Hideo²,Watanabe Kazuo³

Affiliation:

1. Department of Mechanical Engineering, Ehime University Matsuyama, Ehime 790-8577, Japan

2. Department of Mathematics, Chiba Institute of Technology Narashino, Chiba 275-0023, Japan

3. Department of Mathematics, Gakushuin University Toshima-ku, Tokyo 171-8588, Japan

Publisher

SUT Journal of Mathematics - Tokyo University of Science

Subject

General Mathematics

Reference16 articles.

1. [1] S. Albeverio and P. Kurasov, Singular perturbations of differential operators, London Math. Soc. Lect. Note Ser. No. 271, Cambridge Univ. Press, 2000.

2. [2] D. S. Gilliam and J. R. Schulenberger Electromagnetic waves in a three-dimensional half space with a dissipative boundary, J. Math. Anal. Appl., 89, 1982, 129–185.

3. [3] D. S. Gilliam and J. R. Schulenberger, Spectral analysis of a dissipative problem in electrodynamics: The Sommerfeld problem, Acta Appl. Math., 6, 1986, 63–94.

4. [4] M. Kadowaki Resolvent estimates and scattering states for dissipative systems, Publ. RIMS Kyoto Univ., 38, 2002, 191–209.

5. [5] M. Kadowaki, H. Nakazawa and K. Watanabe, On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one, Hiroshima Math.J., 34, 2004, 345–369.

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