Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces-Reference-Cited by-同舟云学术

Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces

Published:2023-01-01 Issue:1 Volume:23 Page:
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Chow Bennett¹

Affiliation:

1. Department of Mathematics, University of California, San Diego, 9500 Gilman Drive #0112 , La Jolla , CA 92093-0112 , USA

Abstract

Abstract We survey some ideas regarding the application of the Aleksandrov reflection method in partial differential equation to extrinsic geometric flows of Euclidean hypersurfaces. In this survey, we mention some related and important recent developments of others on the convergence of noncontracting flows and construction and classification of ancient flows.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0034/pdf

Reference83 articles.

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2. A. D. Aleksandrov and J. A. Volkov, Uniqueness theorems for surfaces in the large. IV. (Russian) Vestnik Leningrad. Univ. 13 (1958), no. 13, 27–34.

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4. B. Andrews, Evolving convex curves. Calc. Var. Partial Differential Equations 7 (1998), no. 4, 315–371.

5. B. Andrews, Classification of limiting shapes for isotropic curve flows, J. Amer. Math. Soc. 16 (2003), no. 2, 443–459.

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