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Hamiltonian stationary self-similar solutions for Lagrangian mean curvature flow in the complex Euclidean plane
Author(s):
Ildefonso
Castro;
Ana
M.
Lerma
Journal:
Proc. Amer. Math. Soc.
138
(2010),
1821-1832.
MSC (2010):
Primary 53C42, 53B25;
Secondary 53D12
Posted:
December 30, 2009
MathSciNet review:
2587467
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Abstract:
We classify all Hamiltonian stationary Lagrangian surfaces in the complex Euclidean plane which are self-similar solutions of the mean curvature flow.
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Additional Information:
Ildefonso
Castro
Affiliation:
Departamento de Matemáticas, Universidad de Jaén, 23071 Jaén, Spain
Email:
icastro@ujaen.es
Ana
M.
Lerma
Affiliation:
Departamento de Matemáticas, Universidad de Jaén, 23071 Jaén, Spain
Email:
alerma@ujaen.es
DOI:
10.1090/S0002-9939-09-10134-X
PII:
S 0002-9939(09)10134-X
Keywords:
Mean curvature flow,
self-similar solutions,
Hamiltonian stationary Lagrangian surfaces.
Received by editor(s):
June 17, 2009,
Received by editor(s) in revised form:
July 27, 2009
Posted:
December 30, 2009
Additional Notes:
This research was partially supported by MEC-Feder grant MTM2007-61775
Communicated by:
Jon G. Wolfson
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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