Special Session 22: 

Global regularity for quasilinear parabolic equations involving measure data

Jung-Tae Park
Korea Institute for Advanced Study
Korea
Co-Author(s):    Sun-Sig Byun; Pilsoo Shin
Abstract:
In this talk we present global Calder\'on-Zygmund type estimates for parabolic problems with $p$-growth in bounded nonsmooth domains when the right-hand side is a signed Radon measure with finite mass. We define suitable solutions and provide conditions which guarantee regularity results for such measure data problems. This is joint work with Sun-Sig Byun and Pilsoo Shin.