Journal of the
Korean Mathematical Society
JKMS

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

Article

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J. Korean Math. Soc. 2004; 41(3): 435-459

Printed May 1, 2004

Copyright © The Korean Mathematical Society.

Identification problems for the system governed by abstract nonlinear damped second order evolution equations

Junhong Ha and Shin-ichi Nakagiri

Korea University of Technology and Education, Kobe University

Abstract

Identification problems for the system governed by abstract nonlinear damped second order evolution equations are studied. Since unknown parameters are included in the diffusion operator, we can not simply identify them by using the usual optimal control theories. In this paper we present how to solve our identification problems via the method of transposition.

Keywords: parameter identification, nonlinear damped second order equation, weak solution, necessary condition of optimality, method of transposition

MSC numbers: 49J20, 93E24