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SUMMARY:New regularity results  and long time behavior  of pathwise (stoch
 astic) Hamilton-Jacobi equations - Panagiotis Souganidis (University of Ch
 icago)
DTSTART:20181210T133000Z
DTEND:20181210T143000Z
UID:TALK115549@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will discuss  two new regularity results (regularizing effec
 t and propagation of regularity) for viscosity solutions of uniformly conv
 ex Hamilton-Jacobi equations.  In turn\, the new estimates yield new inter
 mittent   stochastic regularization for pathwise  (stochastic) viscosity s
 olutions of Hamilton-Jacobi equations with uniformly convex Hamiltonians  
 and rough multiplicative time dependence. The intermittent regularity esti
 mates are then used to study the long time behavior of the pathwise (stoch
 astic) viscosity solutions of convex Hamilton-Jacobi equations. This is jo
 int work with P. L. Lions.<br><br>--
LOCATION:Seminar Room 1\, Newton Institute
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