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[00909] Lipschitz stability of an inverse problem for Tumor Growth Model

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G809
  • Type : Contributed Talk
  • Abstract : We address an inverse problem of recovering a space-dependent semilinear coefficient in the Cahn–Hilliard type system modeling tumor growth described by a system of partial differential equations with Dirichlet boundary condition using boundary-type measurement. First, we establish a new higher-order weighted Carleman estimate for the given system and then a suitable regularity of solutions for this nonlinear system is derived. Finally, we prove Lipschitz type stability for the tumor growth model.
  • Classification : 35R30, 35K15
  • Format : Talk at Waseda University
  • Author(s) :
    • Barani Balan Natesan (Central University of Tamil Nadu)