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4:00 pm Wednesday, September 15, 2010 Stulken Geometry-Analysis Seminar: Global Attractors for Nonlinear Dispersive Hamiltonian Systems with U(1)-Invarianceby
Andrew Comech (Texas A&M University and IITP, Moscow) in HB 227- We consider the U(1)-invariant Klein-Gordon equation in continuous and in discrete space-time, with the nonlinearity concentrated at one point. We show that solitary waves form the weak global attractor for this equation. That is, for large positive or negative times any finite energy solution converges to the set of all solitary waves. The convergence takes place in localized (weighted) norms. This is a joint work with Alexander Komech, Vienna University and IITP, Moscow
Submitted by damanik@rice.edu |