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SUMMARY:On regularity properties of solutions to hysteresis-type problems.
  - Apushkinskaya\, D (Universitt des Saarlandes)
DTSTART:20140212T151500Z
DTEND:20140212T161500Z
UID:TALK50819@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider equations with the simplest hysteresis operator at
  the right-hand side. Such equations describe the so-called processes "wit
 h memory" in which various substances interact according to the hysteresis
  law. The main feature of this problem is that the operator at the right-h
 and side is a multivalued.\n\nWe present some results concerning the optim
 al regularity of solutions. Our arguments are based on quadratic growth es
 timates for solutions near the free boundary. The talk is based on joint w
 ork with Nina Uraltseva.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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