Technion - Israel Institute of Technology Department of Mathematics ===================================== PDE AND APPLIED MATHEMATICS SEMINAR ===================================== DATE: Tuesday, March 27, 2012 SPEAKER: Vitaly Moroz, Swansea University TITLE: Existence, nonexistence and optimal decay of solutions to nonlinear Choquard equations PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 ABSTRACT: Choquard (or Hartree, or nonlinear Schrodinger-Newton) equation is a stationary nonlinear Schrodinger type equation where the nonlinearity is coupled with a nonlocal convolution term (gravitational potential). We present sharp Liouville-type theorems on nonexistence of positive supersolutions of such equations in exterior domains. We also discuss existence and optimal decay properties of positive solutions under various assumptions on the decay of the external potential. This is joint work with Jean Van Schaftingen (Louvain-la-Neuve, Belgium). For further info: Yehuda Pinchover <pincho@techunix.technion.ac.il> For past and future Applied Math/PDE seminars see: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yehuda Pinchover <pincho@tx.technion.ac.il>