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On numerical blow-up sets
Author(s):
Julián
Fernández Bonder;
Pablo
Groisman;
Julio
D.
Rossi
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2049-2055.
MSC (2000):
Primary 35K55, 35B40, 65M20
Posted:
January 17, 2002
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Abstract:
In this paper we study numerical blow-up sets for semidicrete approximations of the heat equation with nonlinear boundary conditions. We prove that the blow-up set either concentrates near the boundary or is the whole domain.
References:
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Additional Information:
Julián
Fernández Bonder
Affiliation:
Departamento de Matemática, FCEyN, UBA (1428) Buenos Aires, Argentina
Email:
jfbonder@dm.uba.ar
Pablo
Groisman
Affiliation:
Departamento de Matemática, FCEyN, UBA (1428) Buenos Aires, Argentina
Address at time of publication:
Departamento de Matemática y Ciencias, Universidad de San Andrés, Vito Dumas 284 (B1D1644)--Victoria, Buenos Aires, Argentina
Email:
pgroisma@dm.uba.ar, pablog@udesa.edu.ar
Julio
D.
Rossi
Affiliation:
Departamento de Matemática, FCEyN, UBA (1428) Buenos Aires, Argentina
Email:
jrossi@dm.uba.ar
DOI:
10.1090/S0002-9939-02-06350-5
PII:
S 0002-9939(02)06350-5
Keywords:
Numerical approximations,
nonlinear boundary conditions
Received by editor(s):
September 19, 2000
Received by editor(s) in revised form:
February 7, 2001
Posted:
January 17, 2002
Additional Notes:
This work was partially supported by Universidad de Buenos Aires under grants TX47 and TX48 and by ANPCyT PICT No. 03-00000-00137. The third author was also supported by Fundación Antorchas.
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2002,
American Mathematical Society
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