Analysis Seminar
Global well-posedness and scattering for the radially symmetric cubic wave equation with a critical Sobolev norm
In this talk we discuss the cubic wave equation in three dimensions. In three dimensions the critical Sobolev exponent is 1/2. There is no known conserved quantity that controls this norm. We prove unconditional global well-posedness for radial initial data in the critical Sobolev space.
Date & Time
February 28, 2019 | 1:00pm – 2:00pm
Location
Simonyi Hall 101Speakers
Benjamin Dodson
Affiliation
Johns Hopkins University; von Neumann Fellow, School of Mathematics