Survey of several recent results dealing with regularity to weak solutions to parabolic systems. A new result illustrates that in three space dimensions parabolic systems do not conserve, in general, the smoothing property of the heat equation.
Survey of several recent results dealing with regularity to weak solutions to parabolic systems. A new result illustrates that in three space dimensions parabolic systems do not conserve, in general, the smoothing property of the heat equation. (en)