ABSTRACT
In this note we deal with a problem regarding forward–backward parabolic equations like with r which changes sign. It is natural to have the continuity of the function . Here we show that, under very mild assumptions, one also gets the continuity of the function also in more general and abstract situations. This result turns out to be useful when dealing with De Giorgi classes for these type of equations.
Notes
No potential conflict of interest was reported by the author.