Hölder continuity of weak solutions to nondiagonal singular parabolic systems of three equations
Volume 88 / 2006
Annales Polonici Mathematici 88 (2006), 205-227
MSC: Primary 35K50; Secondary 35D10, 35B65.
DOI: 10.4064/ap88-3-2
Abstract
Hölder continuity of weak solutions is studied for a nondiagonal parabolic system of singular quasilinear differential equations with matrix of coefficients satisfying special structure conditions. A technique based on estimating linear combinations of the unknowns is employed.