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SUMMARY:John Anderson (Princeton University)
DTSTART:20210201T160000Z
DTEND:20210201T170000Z
DTSTAMP:20260423T024542Z
UID:GAuS/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GAuS/4/">Sta
 bility results for anisotropic systems of wave equations</a>\nby John Ande
 rson (Princeton University) as part of GAuS Seminar on Analysis and PDE\n\
 n\nAbstract\nIn this talk\, I will describe a global stability result for 
 a nonlinear anisotropic system of wave equations. This is motivated by stu
 dying phenomena involving characteristics with multiple sheets. For the pr
 oof\, I will describe a strategy for controlling the solution based on bil
 inear energy estimates. Through a duality argument\, this will allow us to
  prove decay in physical space using decay estimates for the homogeneous w
 ave equation as a black box. The final proof will also require us to explo
 it a certain null condition that is present when the anisotropic system of
  wave equations satisfies a structural property involving the light cones 
 of the equations.\n
LOCATION:https://researchseminars.org/talk/GAuS/4/
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