Publication Cover
Applicable Analysis
An International Journal
Volume 67, 1997 - Issue 1-2
32
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

The dirichlet problem for generalized mean curvature flowsFootnote*

Pages 137-156 | Received 01 Jul 1997, Published online: 02 May 2007

References

  • Alvarez , L. , Crandall , M.G. , Lions , P.L. and Morel , J.M. 1993 . Axioms and foundamental equations of image processing . Report 9216, C.E.R.E.M.A.D.E. Université Paris Dauphine, Arch. Rat. Mech. Anal , 123 : 199 – 257 .
  • Ambrosio , L. and Soner , H.M. 1994 . Level set approach to mean curvature flow in arbitrary codimension . submitted for pubblication, J. Diff. Geom ,
  • Chen , Y. , Giga , Y. and Goto , S. 1991 . Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations . J. Diff. Geom , 33 : 749 – 786 .
  • Crandall , M.G. , Ishii , H. and Lions , P.L. 1992 . User's guide to viscosity solutions of second order PDE's . Bull. Amer. Math. Soc , 27 : 1 – 67 .
  • Maso , A Dal . 1994 . An introduction to Γ — convergence . Progress in non-linear partial differential equations and their applications , 8
  • Evans , L.C. and Spruck , J. 1991 . Motion of level sets by mean curvature I . I. J. Diff. Geom , 33 : 635 – 681 .
  • Evans , L.C. and Spruck , J. 1992 . Motion of level sets by mean curvature, II . Trans. Amer. Math. Soc , 330 : 321 – 332 .
  • Evans , L.C. and Spruck , J. 1992 . Motion of level sets by mean curvature, III . J. Geom. Analysis , 2 : 121 – 150 .
  • Giusti , E. 1984 . Minimal Surfaces and Functions of Bounded Variation . Momographs in Mathematics , 80
  • Ishii , H. 1989 . On uniqueness and existence of viscosity solutions of fully non-linear second order elliptic PDE's . Comm. Pure Appl. Math , 42 : 15 – 45 .
  • Ramaswamy , M. 1994 . Perron's Method and barrier functions for the viscosity solutions of the Dirichlet problem for some non-linear partial differential equations . Z. Anal. Anwendungen , 13 ( 2 ) : 199 – 207 .
  • Trudinger , N. 1990 . The Dirichlet problem for prescribed curvature equations . Arch. Rat. Mech. Anal , 111 ( 2 ) : 153 – 179 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.