Non-uniform dependence for the Periodic CH equation

Monday, February 11, 2008 -
4:00pm to 6:00pm
Using approximate solutions we show that the solution map for the periodic Camassa-Holm (CH) equation is not uniformly continuous in Sobolev spaces with exponent greater or equal to one. This extends earlier results to the whole range of Sobolev exponents.
Alex Himonas
University of Notre Dame
Event Location: 
Fine Hall 110