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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Motion of level sets by mean curvature. II
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by L. C. Evans and J. Spruck
Trans. Amer. Math. Soc. 330 (1992), 321-332
DOI: https://doi.org/10.1090/S0002-9947-1992-1068927-8

Abstract:

We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface
References
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  • Yun Gang Chen, Yoshikazu Giga, and Shun’ichi Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Differential Geom. 33 (1991), no. 3, 749–786. MR 1100211
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Bibliographic Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 330 (1992), 321-332
  • MSC: Primary 58E99; Secondary 35K55, 53A07, 58G11
  • DOI: https://doi.org/10.1090/S0002-9947-1992-1068927-8
  • MathSciNet review: 1068927