4 citations · 4 across the 4 of their papers we have counts for
4 papers
Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Sunhi Choi, Inwon Kim
We investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution i…
Erratum: Degenerate diffusion with a drift potential: A viscosity solution approach
Inwon C. Kim
The earlier paper [LK] (arXiv:0910.3432) contains a lower bound of the solution in terms of its norm, which is incorrect. In this note we explain the mistake and present a co…
Viscosity Solutions for the two-phase Stefan Problem
Inwon C. Kim, Norbert Pozar
We introduce a notion of viscosity solutions for the two-phase Stefan problem, which incorporates possible existence of a mushy region generated by the initial data. We show that a…
Global existence and uniqueness of solutions to a model of price formation
Lincoln Chayes, Maria del Mar Gonzalez, Maria Pia Gualdani +1
We study a model due to J.M. Lasry and P.L. Lions, describing the evolution of a scalar price which is realized as a free boundary in a 1-D diffusion equation with dynamically evol…