Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2002; 39(4): 509-524

Printed July 1, 2002

Copyright © The Korean Mathematical Society.

Identification problems of damped sine-Gordon equations with constant parameters

Junhong Ha and Shin-ichi Nakagiri

Korea University of Technology and Education, Kobe University

Abstract

We study the problems of identification for the damped sine-Gordon equations with constant parameters. That is, we establish the existence and necessary conditions for the optimal constant parameters based on the fundamental optimal control theory and the transposition method studied in Lions and Magenes [5].

Keywords: sine-Gordon equation, identification problem, optimal parameter, transposition method

MSC numbers: 49J20, 93E24

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