대한수학회지 (Journal of the Korean Mathematical Society)

  • 제39권4호
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  • Pages.509-524
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  • 2002
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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IDENTIFICATION PROBLEMS OF DAMPED SINE-GORDON EQUATIONS WITH CONSTANT PARAMETERS

  • Ha, Jun-Hong (School of Liberal Arts Korea University of Technology and Education) ;
  • Nagiri, Shin-ichi (Department of Applied Mathematics Faculty of Engineering Kobe University)
  • 발행 : 2002.07.01
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초록

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].

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참고문헌

  1. Pitman Research Notes in Mathematics Series v.184 optimization and identification of systems governed by evolution equations on Banach space N. U. Ahmed
  2. Physica v.7D Influence of solitons in the initial state on chaos in the driven damped sine-Gordon system A. R. Bishop;K. Fesser;P. S. Lomdahl
  3. Chaos in Nonlinear Dynamical Systems Beating modes in the Josephson junction M. Levi
  4. Optimal Control of Systems Governed by Partial Differential Equations J. L. Lions
  5. Non-Homogeneous Boundary Value Problems and Applications v.Ⅱ J. L. Lions;E. Magenes
  6. Nonlinear Anal. v.30 Qudratic optimal control problems for nonlinear second order systems in Hilbert spaces J. Ha;S. Nakagiri https://doi.org/10.1016/S0362-546X(97)00137-5
  7. Funkcial Ekvac. v.41 Existence and regularity of weak solutions for semilinear second order evolution equations J. Ha;S. Nakagiri
  8. J. Appl. Phys. v.45 no.9 Numerical analysis of vortex motion on Josephson structures K. Nakajima;Y. Onodera https://doi.org/10.1063/1.1663917
  9. J. Korean Math. Soc. v.34 no.4 Identification problem for damping parameters in linear damped second order systems J. Park;J. Ha;H. Han
  10. Applied Mathematical Sciences v.68 Infinite-Dimensional Dynamical Systems in Mechanics and Physics R. Temam

피인용 문헌

  1. Parameter identification for weakly damped shallow arches vol.403, pp.1, 2013, https://doi.org/10.1016/j.jmaa.2013.02.047
  2. Identification problem for damped sine-Gordon equation with point sources vol.375, pp.2, 2011, https://doi.org/10.1016/j.jmaa.2010.10.006
  3. The Cauchy problem of coupled elliptic sine–Gordon equations with noise: Analysis of a general kernel-based regularization and reliable tools of computing vol.73, pp.1, 2017, https://doi.org/10.1016/j.camwa.2016.11.001
  4. Fréchet differentiability for a damped sine-Gordon equation vol.360, pp.2, 2009, https://doi.org/10.1016/j.jmaa.2009.06.074