Lipschitz regularity of viscosity solutions in some nonlinear parabolic-free boundary problems
Date
2006ISBN
977-5945-380Publisher
Hindawi Publishing CorporationSource
Differential & difference equations and applicationsPages
787-793Google Scholar check
Metadata
Show full item recordAbstract
We study the regularity of solutions in Stefan-type free boundary problems.We prove that viscosity solutions to a fully nonlinear free boundary problem are Lipschitz continuous across the free boundary, provided that the free boundary is a Lipschitz graph in some space direction.