Parabolic inequalities in Orlicz spaces with data in L1

Abstract

In this paper, we provide existence and uniqueness of entropy solutions to a general nonlinear parabolic problem on a general convex set with merely integrable data and in the setting of Orlicz spaces.

Keywords

• nonlinear parabolic inequalities
• entropy solution
• orlicz-sobolev
• 35k55
• 49j40
• 46e30