Full regularity of bounded solutions to nondiagonal parabolic systems of two equations
Volume 35 / 2008
Applicationes Mathematicae 35 (2008), 69-79
MSC: Primary 35B50; Secondary 35K40, 35K55.
DOI: 10.4064/am35-1-4
Abstract
Hölder continuity and, basing on this, full regularity and global existence of weak solutions is studied for a general nondiagonal parabolic system of nonlinear differential equations with the matrix of coefficients satisfying special structure conditions and depending on the unknowns. A technique based on estimating a certain function of unknowns is employed to this end.
