Global well-posedness and scattering for the radially symmetric cubic wave equation with a critical Sobolev norm

Global well-posedness and scattering...Sobolev norm - Benjamin Dodson

Benjamin Dodson
Johns Hopkins University; von Neumann Fellow, School of Mathematics
February 28, 2019

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.