The IVP for the k-genralized Korteweg-de Vries Equation

When
Start: 11/14/2012 - 4:15pm
End  : 11/14/2012 - 5:15pm

Category
Colloquium

Speaker
Gustavo Ponce, University of California, Santa Barbara

Abstract

We shall discuss several results describing special properties of the solution to the IVP associated with the so called $ k $--generalized Korteweg-de Vries equation
 

$  \partial_t u + \partial_x^3 u + u^k\partial_x u = 0,\quad k = 1,2,3,\ldots $

We shall be mainly concerned with the results depending on the values of the parameter $ k $.  These include local well--posedness, integrability, elastic behavior of the soliton solution, stability of solutions and unique continuation.

 

 

 

 

Where
Millikan 134, Pomona College

Misc. Information

Abstract: We shall discuss several results describing special properties of the solution to the IVP associated with the so called k–generalized Korteweg-de Vries equation.
We shall be mainly concerned with the results depending on the values of the parameter k. These in- clude local well–posedness, integrability, elastic behavior of the soliton solution, stability of solutions and unique continuation.

 

 

AttachmentSize
Ponce.pdf134.24 KB