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Abstract:

We find an estimate for the blow-up time in terms of the initial data for solutions of the equation u t = (u m)xx +u m in ℝ× (0, T) and for solutions of the problem u t = (u m)xx in (0, ∞) × (0, T) with −(u m)x(0, t) = u m(0, t) on (0, T) with m > 1. © 2005, Birkhäuser Verlag Basel/Switzerland.

Registro:

Documento: Artículo
Título:An estimate for the blow-up time in terms of the initial data
Autor:Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN., UBA (1428), Buenos Aires, Argentina
Consejo Superior de Investigaciones Científicas (CSIC), Serrano 123, Madrid, Spain
Palabras clave:Blow-up time; Parabolic equations
Año:2006
Volumen:66
Página de inicio:465
Página de fin:469
DOI: http://dx.doi.org/10.1007/3-7643-7401-2_31
Título revista:Progress in Nonlinear Differential Equations and Their Application
Título revista abreviado:Prog. Nonlinear Differential Equations Appl.
ISSN:14211750
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14211750_v66_n_p465_Rossi

Referencias:

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  • Samarskii, A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P., (1995) Blow-Up in Quasilinear Parabolic Equations, , Walter de Gruyter, Berlin

Citas:

---------- APA ----------
(2006) . An estimate for the blow-up time in terms of the initial data. Progress in Nonlinear Differential Equations and Their Application, 66, 465-469.
http://dx.doi.org/10.1007/3-7643-7401-2_31
---------- CHICAGO ----------
Rossi, J.D. "An estimate for the blow-up time in terms of the initial data" . Progress in Nonlinear Differential Equations and Their Application 66 (2006) : 465-469.
http://dx.doi.org/10.1007/3-7643-7401-2_31
---------- MLA ----------
Rossi, J.D. "An estimate for the blow-up time in terms of the initial data" . Progress in Nonlinear Differential Equations and Their Application, vol. 66, 2006, pp. 465-469.
http://dx.doi.org/10.1007/3-7643-7401-2_31
---------- VANCOUVER ----------
Rossi, J.D. An estimate for the blow-up time in terms of the initial data. Prog. Nonlinear Differential Equations Appl. 2006;66:465-469.
http://dx.doi.org/10.1007/3-7643-7401-2_31