Advances in Differential Equations

Construction of complete embedded self-similar surfaces under mean curvature flow. Part II

Xuan Hien Nguyen

Full-text: Open access

Abstract

We study the Dirichlet problem associated to the equation for self-similar surfaces under mean curvature flow for graphs over the Euclidean plane with a disk removed. We show the existence of a solution provided the boundary conditions on the boundary circle are small enough and satisfy some symmetries.

Article information

Source
Adv. Differential Equations, Volume 15, Number 5/6 (2010), 503-530.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355854679

Mathematical Reviews number (MathSciNet)
MR2643233

Zentralblatt MATH identifier
1200.53061

Subjects
Primary: 53C44: Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

Citation

Nguyen, Xuan Hien. Construction of complete embedded self-similar surfaces under mean curvature flow. Part II. Adv. Differential Equations 15 (2010), no. 5/6, 503--530. https://projecteuclid.org/euclid.ade/1355854679


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