Speaker:
Weimin Wang
Institution:
CNRS
Time:
Thursday, June 6, 2019 - 2:00pm to 2:50pm
Host:
Location:
RH440R
We discuss smooth infinite energy solutions to nonlinear
Schrodinger equations on $R^d$. These solutions are periodic in time,
and quasi-periodic in space. This is unlike Moser's solutions, which
are space-time periodic. When d=1, we are moreover able to
construct 2-gap type solutions, i.e., space-time quasi-periodic
solutions with two frequencies each. We use the semi-algebraic geometry
technique introduced by Bourgain.