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http://dx.doi.org/10.4134/JKMS.2004.41.3.435

IDENTIFICATION PROBLEMS FOR THE SYSTEM GOVERNED BY ABSTRACT NONLINEAR DAMPED SECOND ORDER EVOLUTION EQUATIONS  

Ha, Jun-Hong (School of Liberal Arts Korea University of Technology)
Nakagiri, Shin-Ichi (Department of Applied Mathematics Faculty of Engineering Kobe University)
Publication Information
Journal of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 435-459 More about this Journal
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;
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