Solvability of some Stefan type problems with L 1 -data

Abstract

In this paper, we focus on some class of Stefan type problems. We prove the existence and uniqueness of renormalized solution in anisotropic Sobolev spaces with data belonging to L1 -data, based on the properties of the renormalized solutions and the generalized monotonicity method in the functional spaces.

Keywords

• anisotrpic sobolev spaces
• trunctions
• maximal monotone graphe
• stefan type problems