Stability result for a time dependent potential in a waveguide

2012/03/06 by Gaitan, Patricia, Kian, Yavar
#35K20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.1218

Abstract

We consider the operator H:= ∂_t -Δ+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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