[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.