A priori gradient bounds for fully nonlinear parabolic equations and applications to porous medium models

作者：Chehade Hana Hajj^*; Jazar Mustapha; Monneau Regis

来源：Journal de Mathematiques Pures et Appliquees, 2015, 103(6): 1346-1357.

DOI：10.1016/j.matpur.2014.11.001

• Maximum principle
• Degenerate parabolic equation
• Flows in porous medium
• Hydrology

We prove a priori gradient bounds for classical solutions of the fully nonlinear parabolic equation
u(t) = F (D(2)u, Du, u, x, t).
Several applications are given, including the standard porous medium equation.

• 出版日期2015-6