Nonlinear degenerate parabolic equations with irregular initial data

Abstract

Existence and regularity results for a class of degenerate nonlinear parabolic equations are proved for irregular initial data like the Dirac mass. Indeed the diffusion operator may degenerate as the solution diverges and may depend on space and time variables in a non–regular way, too.

Keywords

• nonlinear
• space–time dependent
• degenerate parabolic equations
• irregular initial data