- Series
- PDE Seminar
- Time
- Tuesday, March 24, 2015 - 3:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Benjamin Dodson – Johns Hopkins University
- Organizer
- Geng Chen
In this talk we examine the cubic nonlinear wave and
Schrodinger equations. In three dimensions, each of these equations is
H^{1/2} critical. It has been showed that such equations are well-posed and scattering when the H^{1/2} norm is bounded, however, there is
no known quantity that controls the H^{1/2} norm. In this talk we use
the I-method to prove global well posedness for data in H^{s}, s >
1/2.