Diff. Geom, Math. Phys., PDE Seminar: Matthew Coles

  • Date: 11/24/2015
  • Time: 15:30
Matthew Coles, UBC

University of British Columbia


Resonance Eigenvalues and the Nonlinear Schroedinger Equation


There are many interesting questions concerning the Nonlinear Schroedinger Equation such as the existence and stability of solitary wave solutions as well as the long time behaviour of solutions. These problems are made more complicated by the presence of a resonance eigenvalue. Such occurrences are special cases which serve to worsen time decay estimates and complicate resolvent expansions. We will talk about some particular perturbation results whose treatment is non-standard since a relevant linear operator has a resonance.   

Other Information: 

Location: ESB 2012