Integrability and boundedness of local solutions to doubly degenerate quasilinear parabolic equations
Mike J. O'Leary · Advances in Differential Equations · 2000
Integral and supremum estimates are proven for local solutions of doubly degenerate quasilinear parabolic equations. This is done with the aid of a local energy inequality and estimates in $L^{\text{weak}}_q$ spaces.