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Jason Metcalfe, UNC-Chapel-Hill – Analysis & PDE Seminar

November 17, 2021 @ 4:00 pm - 5:00 pm

Mode: In-person

TITLE: Variants of r^p weighted local energy estimates and their application to long time existence for nonlinear wave equations

ABSTRACT:  We will examine long-time existence for nonlinear wave equations (1) satisfying the null condition, (2) containing dependence on the solution at the lowest order, and (3) satisfying a certain weak null condition.  The method of proof relies on a space-time Klainerman Sobolev estimate and a local energy estimate that is a variant of the r^p weighted estimates.  Efforts will be made to keep the talk relatively accessible to graduate students that may be interested in the field.

Details

Date:
November 17, 2021
Time:
4:00 pm - 5:00 pm
Event Category:

Venue

Phillips 332