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On the interior derivative blow-up for the curvature evolution of capillary surfaces
Author(s):
Keisui
Asai;
Naoyuki
Ishimura
Journal:
Proc. Amer. Math. Soc.
126
(1998),
835-840.
MSC (1991):
Primary 35B40, 35K55, 58G11
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Abstract:
We give examples of the interior derivative blow-up solutions for the curvature evolution of capillary surfaces over a bounded domain in  .
References:
- 1.
- S.B.Angenent and M.Fila, Interior gradient blow-up in a semilinear parabolic equation, Diff. Integral Eqs. 9 (1996), 865-877. MR 97e:35088
- 2.
- K.Asai, Interior derivative blow-up for the curvature evolution of capillary surfaces, Thesis, University of Tokyo (1996).
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- 4.
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- R.Finn, Equilibrium Capillary Surfaces, Springer-Verlag, New-York, 1986. MR 88f:49001
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Additional Information:
Keisui
Asai
Affiliation:
System Laboratory, Fujitsu Cooperation, Mihama, Chiba 261, Japan
Email:
keisui@tokyo.se.fujitsu.co.jp
Naoyuki
Ishimura
Affiliation:
Department of Mathematics, Hitotsubashi University, Kunitachi, Tokyo 186, Japan
Email:
ishimura@math.hit-u.ac.jp
DOI:
10.1090/S0002-9939-98-04084-2
PII:
S 0002-9939(98)04084-2
Keywords:
Derivative blow-up,
curvature evolution,
capillary surfaces
Received by editor(s):
March 28, 1996
Received by editor(s) in revised form:
September 10, 1996
Communicated by:
Jeffrey B. Rauch
Copyright of article:
Copyright
1998,
American Mathematical Society
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