Patricia Gaitan, Yavar Kian
Published 2012-03-06Version 1
We consider the operator $H:= \partial_t -\Delta+V$ in 2D or 3D waveguide. With an adapted global Carleman estimate with singular weight functions we give a stability result for the time dependent part of the potential for this particular geometry. Two cases are considered: the bounded waveguide with mixed Dirichlet and Neumann conditions and the open waveguide with Dirichlet boundary conditions.
Heat trace asymptotics with singular weight functions
On the torsion function with Robin or Dirichlet boundary conditions
Smoothing effect for Schrödinger boundary value problems
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