Analysis Seminar

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Existence and Concentration for Nonlinear Schrödinger Equations with Fast Decaying Potentials

Speaker: Vitaly Moroz, Swansea University, UK

Location: Warren Weaver Hall 1302

Date: Thursday, February 23, 2012, 11 a.m.

Synopsis:

We discuss the existence of positive stationary solutions for a class of nonlinear Schrödinger equations. Amongst other results, we prove the existence of semi-classical solutions which concentrate around a positive local minimum of the potential. The novelty is that no restriction is imposed on the rate of decay of the potential at infinity. In particular, we cover the case where the potential is compactly supported. This is joint work with Jean Van Schaftingen (Louvain-la-Neuve, Belgium).