PDE/Applied Math Seminar: Luiz G. Farah (Universidade Federalde Minas Gerais), 'On the generalized KdV equation' (Host: G. Ponce)

Event Date: 

Friday, November 2, 2012 -
2:00pm to 3:00pm

Event Location: 

  • 6617 South Hall

Event Contact: 

Gustavo Ponce
Email: ponce@math.ucsb.edu

In this talk we consider the generalized Korteweg-de Vries (gKdV) equation

$$
partial_tu+partial_x^3u+mupartial_x(u^{k+1})=0, $$

where $kgeq 4$ is an integer number and $mu=pm1$.
We will review the well-posedness theory and discuss some open problems.