On some regularity and nonregularity results for solutions to parabolic systems

  • Jana Stará
  • Oldřich John


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.