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1998 A stability property for the generalized mean curvature flow equation
F. Camilli
Adv. Differential Equations 3(6): 815-846 (1998). DOI: 10.57262/ade/1366292550

Abstract

In this paper we will study stability properties for viscosity solutions of geometric equations. We will prove that, if the interface is regular (i.e., it is the boundary of an open set and it is not fat), the signed distance function from the front is stable for geometric perturbations of the equation. This result is based on representation formulas for viscosity solutions in terms of distance functions from the level sets. An application of the previous result to stability of approximation schemes is also presented.

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F. Camilli. "A stability property for the generalized mean curvature flow equation." Adv. Differential Equations 3 (6) 815 - 846, 1998. https://doi.org/10.57262/ade/1366292550

Information

Published: 1998
First available in Project Euclid: 18 April 2013

zbMATH: 0957.35072
MathSciNet: MR1659277
Digital Object Identifier: 10.57262/ade/1366292550

Subjects:
Primary: 35K55
Secondary: 35B35 , 49L25 , 58E15

Rights: Copyright © 1998 Khayyam Publishing, Inc.

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Vol.3 • No. 6 • 1998
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