Stability for evolving graphs by nonlocal weighted curvature
作者:
Mi—Ho Giga,
Yoshikazu Giga,
期刊:
Communications in Partial Differential Equations
(Taylor Available online 1999)
卷期:
Volume 24,
issue 1-2
页码: 109-184
ISSN:0360-5302
年代: 1999
DOI:10.1080/03605309908821419
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A general stability and convergence theorem is established for generalized solutions of a family of nonlinear evolution equations with non-local diffusion in one space dimension. As the first application we justify the motion by crystalline energy as a limit of regularized problems. As the sec-ond application we show the convergence of crystalline algorithm for general curvature flow equations. Our general results are also important to explain that geometric evolution of crystals depends continuously on temperature even if facets appear.
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