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SUMMARY:FDE2 Organiser talks - Non-existence of solutions to fractional st
 ochastic heat equations - Eulalia Nualart (Universitat Pompeu Fabra)
DTSTART:20220125T090000Z
DTEND:20220125T093000Z
UID:TALK169151@talks.cam.ac.uk
DESCRIPTION:1) Eulalia Nualart (Universitat Pompeu Fabra\, Barcelona)\nTit
 le: Non-existence of solutions to fractional stochastic heat equations\nAb
 stract: We consider the fractional stochastic heat equation on a bounded d
 omain with Dirichlet boundary conditions driven by a Gaussian noise\, whic
 h is white in time and has a spatial correlation in space. The equation ha
 s a locally Lipschitz drift. We show that the well-known Osgood condition 
 is necessary for the solution to blow-up in finite time\, providing the co
 nverse of a Theorem by Bonder and Groisman. We also consider the same equa
 tion on the whole space and show that the Osgood condition is sufficient f
 or the non-existence of global solutions. This is a joint work with Mohamm
 ud Foondun (University of Strathclyde).\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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