Advanced Studies in Pure Mathematics

Non-selfadjoint perturbation of Schrödinger and wave equations

Mitsuteru Kadowaki, Hideo Nakazawa, and Kazuo Watanabe

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Abstract

Non-selfadjoint perturbation of Schrödinger and wave equations is considered. In some cases, we can determine the behavior of solutions (energy decay or scattering) by only its spectral structure.

Article information

Source
Asymptotic Analysis and Singularities — Hyperbolic and dispersive PDEs and fluid mechanics, H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi and E. Yanagida, eds. (Tokyo: Mathematical Society of Japan, 2007), 137-157

Dates
Received: 31 October 2005
Revised: 15 December 2005
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1545000589

Digital Object Identifier
doi:10.2969/aspm/04710137

Mathematical Reviews number (MathSciNet)
MR2387230

Zentralblatt MATH identifier
1145.35344

Citation

Kadowaki, Mitsuteru; Nakazawa, Hideo; Watanabe, Kazuo. Non-selfadjoint perturbation of Schrödinger and wave equations. Asymptotic Analysis and Singularities — Hyperbolic and dispersive PDEs and fluid mechanics, 137--157, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04710137. https://projecteuclid.org/euclid.aspm/1545000589


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