Colloquium October 27
Date: Friday October 27
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Bingyu Zhang of Univ of Cincinnati
Title: On Recent Progress of the Initial Boundary Value Problems of the Korteweg-de Vries Equation
Abstract
Over the last fifteen years the field of dispersive wave equations has
experienced a striking evolution. During that time a number of new ideas
and techniques emerged, spurring progress on problems which until quite
recently seemed intractable. In this talk we will discuss various
initial-boundary-value problems of the Korteweg-de Vries (KdV) equation, a
classical representation of dispersive wave equations. In particular, we
will show how the harmonic analysis based techniques developed by
Bourgain, Kenig, Ponce and Vega as well as many others play important
roles in studying well-posedness of initial-boundary-value problems of the
KdV equation. An overall review of recent progress on this subject will be
provided. Some open questions will be also discussed.
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