Tuesday, September 24, 2013, 4:00 p.m., B139 VV  
Jennifer Beichman  (UW) 
Nonstandard dispersive estimates and linearized water waves


Abstract: In this talk, we focus on understanding the relationship 
between the decay of a solution to the linearized water wave
problem and its initial data. We obtain decay bounds for a class 
of 1D dispersive equations that includes the linearized water wave. 
These decay bounds display a surprising growth factor, 
which we show is sharp.  A further exploration leads to a
result relating singularities of the initial data 
at the origin in Fourier frequency to the regularity of the solution.