Stability result for a time dependent potential in a waveguide

Details Stability result for a time dependent potential in a waveguide Stability result for a time dependent potential in a waveguide

2012-03-06

arxiv.org/abs/1203.1218v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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