- Almgren , F. 1976 . Existence and regularity almost everywhere of elliptic variational . Memoirs A.M.S. , 165
- Almgren , F. , Taylor , J.E. and Wang , L. 1993 . Curvature-driven flows: a variational approach. . S.I.A.M. J. Control and Optimization , 31 : 387 – 437 .
- Brakke , K.A. 1978 . “ The motion of a surface by its mean curvature ” . Princeton : Princeton University Press .
- Buttazzo , G. 1994 . “ Motion by mean curvature and related topics. ” . Edited by: Visintin , A. Berlin : De Gruyter .
- Caginalp , G. 1986 . An analysis of a phase field model of a free boundary. . Arch. , 92 : 205 – 245 .
- Chen , Y.G. , Giga , Y. and Goto , S. 1991 . Uniqueness and existence of viscosity solutions J. Differ. Geom.of generalized solutions. . J. Differ. Geom. , 33 : 749 – 786 .
- Damlamian , A. and Spruck , J. 1995 . “ Curvature flow and related problems. ” . In Gakk[otilde]tosho Scientific Edited by: Visintin , A. Tokyo
- De Giorgi , E. 1954 . Su una teoria generale della misura (r-1)-dimensionale in uno . Ann. Mat. Pura Appl. , 36 : 191 – 213 .
- Delfour , M.C. and Zolesio , J.-P. 1994 . Shape analysis via oriented distance functions. . J. , 123 : 129 – 201 .
- Evans , L.C. and Gariepy , R.F. 1992 . “ Measure theory and fine properties of functions. ” . Boca Raton : Crc Press .
- Evans , L.C. and Spruck , J. 1991 . Motion of level sets by mean curvature I. . J. Diff. Geom. , 33 : 635 – 681 .
- Gage , M. 1983 . An isoperimetric inequality with applications to curve shortening. . Duke Math. J. , 50 : 1225 – 1229 .
- Grayson , M. 1987 . The heat equation shrinks embedded plane curves to points. . J.Diff. Geometry , 26 : 285 – 314 .
- Gurtin , M.E. 1993 . “ Thermomechanics of evolving phase boundaries in the plane. ” . Clarendon Press, Oxford .
- Hardt , R. 1994 . An evolution problem for linear growth functionals. . Communications in P.D.E.s. , 19 : 1879 – 1908 .
- Huisken , G. 1984 . Flow by mean curvature of convex surfaces into spheres. . J. Differ. , 20 : 237 – 266 .
- Luckhaus , S. and Sturzenhecker , T. 1995 . Implicit time discretization for the mean curvature flow equation. . Calc. Var. , 3 : 253 – 271 .
- Massari , U. and Pepe , L. 1974 . Su di una impostazione parametrica del problema dei . Ann. Univ. Ferrara , 20 : 21 – 31 .
- Massari , U. and Pepe , L. 1975 . Successioni convergenti di ipersuperfici di curvatura media . Rend. Sem. Mat. Univ. Padova , 53 : 53 – 68 .
- Osher , S. and Sethian , J.A. 1988 . Fronts propagating. with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. . J. Comput. Physics , 79 : 12 – 49 .
- Reshetnyak , Y.G. 1968 . Weak convergence of completely additive vector functions on a set. . Siberian Math. J. , 9 : 1039 – 1045 .
- Simon , L. 1993 . Lectures on Geometric Measure Theory. . Australian National University, , 3
- Soner , M. 1995 . Convergence of the phase-field equation to the Mullins-Sekerka problem with kinetic undercooling. . Arch. Rational Mech. Anal. , 131 : 139 – 197 .
- Tamanini , I. 1982 . Boundary of Caccioppoli sets with Holder continuous normal vectors. . J. Reine Angew. Math. , 334 : 27 – 39 .
- Tamanini , I. 1984 . Regularity results for almost minimal oriented hypersurfaces in R⊅. . Quaderni Universitá di Lecce , 1
- Visintin , A. 1990 . Pattern evolution. Ann. Scuola Norm. . Sup. Pisa C1. Sci. , 17 : 195 – 225 . Errata corrige:same jounal XVIII (1991)319-320)
- 1997 . Motion by mean curvature flow and nucleation. . C.R. Acad. Sci. , 325 : 55 – 60 .
Nucleation and mean curvature flow
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