Applied Mathematics and Mathematical Physics Seminar: Feride Tiglay

  • Date: 03/25/2011
  • Time: 14:30
Lecturer(s):
Feride Tiglay
Location: 

University of Saskatchewan

Topic: 

The Periodic Cauchy Problem for Novikov's Equation

Description: 

AbstractWe study the periodic Cauchy problem for an integrable equation with cubic nonlinearities introduced by Novikov. Like the Camassa–Holm and Degasperis–Procesi equations, Novikov’s equation has Lax pair representations and admits peakon solutions, but it has nonlinear terms that are cubic, rather than quadratic. We show the local well-posedness of the problem in Sobolev spaces and existence and uniqueness of solutions for all time using orbit invariants. Furthermore, we prove a Cauchy–Kowalevski type theorem for this equation, which establishes the existence and uniqueness of real analytic solutions.

Other Information: 

For more information please visit http://math.usask.ca/~szmigiel/seminar.html#30-6