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SUMMARY:Hölder and Lipschitz continuity of the solutions to parabolic equ
 ations of non-divergence type
DTSTART:20150217T140000
DTEND:20150217T160000
DTSTAMP:20260925T211804Z
UID:ec5a7f3971130bb73098ef68a50b23190608eeab09890f15bc03a1de
CATEGORIES:Conferences - Seminars
DESCRIPTION:Seiichiro Kusuoka\nWe consider linear parabolic equations of t
 he non-divergence type\, and assume the ellipticity and the continuity on 
 the coefficients of the second order derivatives and the boundedness on al
 l the coefficients. Under the assumptions we show the Hölder continuity o
 f the solution in the spatial component. Furthermore\, adding an assumptio
 n on the continuity of the coefficient of the second order derivative\, we
  have the Lipschitz continuity of the solution. In the proof\, we use a pr
 obabilistic method\, in particular the coupling method. As a corollary\, u
 nder an additional assumption we obtain the Hölder and Lipschitz continui
 ty of the fundamental solution in a component.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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