Nonlinear Integral Equation Occurring in a Singular Free Boundary Problem

摘要

One motivation for the study of the Cauchy problem is its similarity with the well-known one phase Stefan problem (in one space dimension). The principal motivation for the study of this problem is that it serves as a prototype of nonlinear parabolic problems which arise as monotone convexifications of nonlinear diffusion equations with nonmonotone constitutive functions phi.