Joint Applied Math and Analysis Seminar on "On Global-in-Time Strichartz Estimates for the Semiperiodic Schrödinger Equation" by Alex Barron (Brown University)

Event Type: 
Seminar
Speaker: 
Alex Barron (Brown University)
Event Date: 
Monday, March 25, 2019 -
3:30pm to 4:30pm
Location: 
SMLC 356
Audience: 
Faculty/StaffStudents
Sponsor/s: 
Cristina Pereyra

Event Description: 

Title: On Global-in-Time Strichartz Estimates for the Semiperiodic Schrödinger Equation



Abstract: We will discuss some recent results related to space-time

estimates for solutions to the linear Schrödinger equation on

manifolds which are products of tori and Euclidean space (e.g. a

cylinder embedded in R^3). On these manifolds it is possible to prove

certain analogues of the classical Euclidean Strichartz estimates

which are scale-invariant and global-in-time. These estimates -- which

are proved with harmonic analysis techniques -- are strong enough to

imply small-data scattering for solutions to the critical quintic NLS

on RxT and the critical cubic NLS on R^2xT (where T is the

one-dimensional torus).

Event Contact

Contact Name: Cristina Pereyra

Contact Email: crisp@math.unm.edu