Applied Math/PDE Seminar: Felipe Linares (IMPA, Rio de Janeiro, Brazil) -- On decay properties of solutions of the $k$-generalized KdV equation

Event Date: 

Friday, February 28, 2014 -
3:00pm to 4:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Carlos Garcia-Cervera

Email: cgarcia@math.ucsb.edu

In this talk I will describe recent results regarding special decay properties of solutions to the initial value problem associated to the $k$-generalized Korteweg-de Vries equation. These are related with persistence properties of the solution flow in weighted Sobolev spaces and with sharp unique continuation properties of solutions to this equation. If time allows I will talk on recent extensions of some of the results above for higher order dispersive equations.