Hölder continuous Young measure solutions to coercive non-monotone parabolic systems in two space dimensions
Jens Frehse, Maria Specovius‐Neugebauer · Applicable Analysis · 2011
We consider parabolic systems u t − div(a(∇u)) = f in two space dimensions where the elliptic part is derived from a potential and is coercive, but not monotone. With natural assumptions on the data we obtain the existence of a long-time Hölder continuous solution in the sense of Young measures.