Phase transition problems of parabolic type: Flat free boundaries are smooth

Communications on Pure and Applied Mathematics

Volumn 51, Issue 1, 1998, Pages 77-112

  Athanasopoulos, I ^a   Caffarelli, L A ^a   Salsa, S ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040117095     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0312(199801)51:1<77::aid-cpa4>3.3.co;2-k     Document Type: Article

References (4)

1. Athanasopoulos, I., Caffarelli, L. A., and Salsa, S., Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems, Ann. of Math. (2) 143, 1996, pp. 413-434.
2. Athanasopoulos, I., Caffarelli, L. A., and Salsa, S., Regularity of the free boundary in parabolic phase-transition problems, Acta Math. 176, 1996, pp. 245-282.
3. Caffarelli, L. A., A Harnack inequality approach to the regularity of free boundaries, II, Flat free boundaries are Lipschitz, Comm. Pure Appl. Math. 42, 1989, pp. 55-78.
4. Widman, K.-O., Inequalities for the Green function and boundary continuity of the gradient of solutions of elliptic differential equations, Math. Scand. 21, 1967, pp. 17-37.