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[00921] Inverse Coefficient Problem - Coupling Fourth and Second Order Equations

  • Session Time & Room : 4C (Aug.24, 13:20-15:00) @G502
  • Type : Contributed Talk
  • Abstract : In this paper, the recovery of the diffusion coefficient from the final time-measured data is carried out using the quasi-solution approach. The inverse coefficient problem is formulated as a minimization problem using an objective functional. The existence of the minimizer is proved, then the necessary optimality condition is derived, and by using that condition, the stability results are proved. To illustrate the efficiency of this method, numerical results are investigated using the conjugate gradient method.
  • Classification : 35G16, 35R30, 49K35, 49K20
  • Format : Talk at Waseda University
  • Author(s) :
    • NAVANEETHA KRISHNAN M (CENTRAL UNIVERSITY OF TAMIL NADU, THIRUVARUR - 610005)