Exponential Decay for the Schrödinger Equation on a Dissipative Waveguide
نویسندگان
چکیده
منابع مشابه
Exponential decay for the Schrödinger equation on a dissipative waveguide
We prove exponential decay for the solution of the Schrödinger equation on a dissipative waveguide. The absorption is effective everywhere on the boundary but the geometric control condition is not satisfied. The proof relies on separation of variables and the Riesz basis property for the eigenfunctions of the transverse operator. The case where the absorption index takes negative values is als...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2014
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-014-0361-1