The regularity of the positive part of functions in with applications to parabolic equations
Daniel Wachsmuth (2016)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Let with be given. Then we show by means of a counter-example that the positive part of has less regularity, in particular it holds in general. Nevertheless, satisfies an integration-by-parts formula, which can be used to prove non-negativity of weak solutions of parabolic equations.