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The principle of limiting absorption and decay of local energy for the linearized equation of magnetogasdynamics

Published online by Cambridge University Press:  22 January 2016

Hideo Tamura
Hideo Tamura*
Affiliation:
Department of Applied Physics, Faculty of Engineering Nagoya University, Furo-cho, Chikusa-ku, Nagoya, 464, Japan
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The present paper is a continuation of [6] and [7] in which the principle of limiting absorption has been verified for symmetric systems of first order with long-range perturbations, but the operators considered there are of constant rank. On the other hand, operators with non-constant rank are also important in application as well as from a purely theoretical point of view. In this paper, we consider the linearized equation of magnetogasdynamics with long-range perturbation as an important example of such operators.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 89 , March 1983 , pp. 13 - 45
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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