On some regularity and nonregularity results for solutions to parabolic systems
Jana Stará, Oldřich John · DOAJ (DOAJ: Directory of Open Access Journals) · 2000
A short survey of recent results on smoothness of weak solutions to parabolic systems with nonsmooth coefficients in olane is given. Moreover, for space dimensions n\ge 3 and any closed subset F in R^n we construct a linear parabolic system with bounded measurable coefficients and its solution which is essentially discontinuous on F and essentially continuous on R^n\F.