A free boundary problem with curvature

Communications in Partial Differential Equations

Volumn 30, Issue 1-3, 2005, Pages 121-138

  Kim, Inwon C ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Comparison principle; Free boundary problems; Viscosity solutions

Indexed keywords

EID: 17444395219     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-200044474     Document Type: Article

References (10)

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3. Crandall, M. G., Ishii, H., Lions, P. L. (1992). User's guide to viscosity solutions of second-order partial differential equations. Bull. Amer. Math. Soc. 27(1):1-67.
4. Crandall, M. G., Lions, P. L. (1983). Viscosity solutions of Hamilton-Jacobi eqations. Trans. Amer. Math. Soc. 277:1-42.
5. Evans, L. C., Spruck, J. (1991). Motion of level sets by mean curvature I. J. Diff. Geom. 33:635-681.
6. Evans, L. C., Soner, H. M., Souganidis, P. E. (1992). Phase transitions and generalized motion by mean curvature. Comm. Pure Appl. Math. 45:1097-1123.
7. Kim, I. C. (2003a). Uniqueness and existence results on viscosity solutions of the Hele-Shaw and the Stefan problems. Arch. Rat. Mech. Anal. 168:299-328.
8. Kim, I. C. (2003b). A free boundary problem arising in flame propagation. J. Diff. Eqs. 191:470-489.
9. Vazquez, J. L. (1995). The free boundary problem for the heat equation with fixed gradient condition. Free Boundary Problems, Theory and Applications. Zakopane, 1995, pp. 277-302, Pitman Res. Notes Math. Ser. 363. Harlow: Longman.
10. Vazquez, J. L. (1995). The free boundary problem for the heat equation with fixed gradient condition. Free Boundary Problems, Theory and Applications. Zakopane, 1995, pp. 277-302, Pitman Res. Notes Math. Ser. 363. Harlow: Longman.