Wave operators for wave equations : some optimal results

Jeudi 25 octobre 2018 14:00-15:00 - Sergey Denisov - University of Wisconsin-Madison

Résumé : We will consider wave equation in three dimensions in the case when potential decays slowly and prove existence of Moller wave operators. The conditions on the potential we assume are essentially sharp. The proof is based on careful analysis of the spatial asymptotics of Green’s function viewed as analytic vector-valued function. The estimates on the entropy of the spectral measure for other elliptic problems (e.g., Schrodinger operator) will be obtained as well and thus the presence of a.c. spectrum will be established.

Lieu : IMO, Salle 3L8

Wave operators for wave equations : some optimal results  Version PDF