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IDENTIFICATION OF CONSTANT PARAMETERS IN PERTURBED SINE-GORDON EQUATIONS

  • Ha, Jun-Hong (School of Liberal Arts Korea University of Technology and Education) ;
  • Nakagiri, Shin-Ichi (Department of Applied Mathematics Faculty of Engineering, Kobe University)
  • Published : 2006.09.30

Abstract

We study the identification problems of constant parameters appearing in the perturbed sine-Gordon equation with the Neumann boundary condition. The existence of optimal parameters is proved, and necessary conditions are established for several types of observations by utilizing quadratic optimal control theory due to Lions [13].

Keywords

References

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