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Seminario del 2010
Giugno
01
2010
pagina stampabile
Alain Grigis (Universite' Paris-Nord, Francia)
A presentation of a homogenization spectral problem
fisica matematica
We present an approach due to Buslaev and Pozharsky of the study of spectral properties of a Schroedinger operator in dimension n. The potential depends of the variable x and the variable x/epsilon. It is periodic in the variable x/epsilon and rapidly decreasing in x. We built asymptotic solutions and we prove the existence of resonances under some assumptions on the homogenized operator.
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