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[00973] Inverse source problem for a seventh-order Korteweg–de Vries equation

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @G809
  • Type : Contributed Talk
  • Abstract : In this talk, we establish the boundary stability result concerning the inverse source problem for a seventh-order Korteweg–de Vries (KdV) equation. Initially, we derive a new boundary Carleman estimate for the given system using the Dirichlet–Neumann type boundary conditions. We finally obtain a Lipschitz-type boundary stability estimate of a seventh-order KdV equation using the regularity results of the nonlinear KdV equation and the Bukhgeim-Klibanov method.
  • Classification : 35R30, 35Q53
  • Format : Online Talk on Zoom
  • Author(s) :
    • Arivazhagan Anbu (SRM Institute of Science and Technology, Tiruchirappalli )
    • Arivazhagan Anbu (Indian Institute of Technology Gandhinagar)