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 101

Speakers

Benjamin Dodson

Affiliation

Johns Hopkins University; von Neumann Fellow, School of Mathematics

Event Series

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