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Abstract:

We find a bound for the modulus of continuity of the blow-up time for the semilinear parabolic problem ut = Δu + |u|p-1 u, with respect to the initial data.

Registro:

Documento: Artículo
Título:On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem
Autor:Groisman, P.; Rossi, J.D.; Zaag, H.
Filiación:Univ. de San Andrés, Victoria, Pcia. de Buenos Aires, Argentina
Departamento de Matemática, FCEyN., UBA, Buenos Aires, Argentina
CNRS UMR 8553, Dépt. de Math. et Applic., Ecole Normale Supérieure, 45 rue d'Ulm, F-75230 Paris Cedex 05, France
Palabras clave:Blow-up time; Continuity; Parabolic equations
Año:2003
Volumen:28
Número:3-4
Página de inicio:737
Página de fin:744
DOI: http://dx.doi.org/10.1081/PDE-120020494
Título revista:Communications in Partial Differential Equations
Título revista abreviado:Commun. Partial Differ. Equ.
ISSN:03605302
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03605302_v28_n3-4_p737_Groisman

Referencias:

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Citas:

---------- APA ----------
Groisman, P., Rossi, J.D. & Zaag, H. (2003) . On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Communications in Partial Differential Equations, 28(3-4), 737-744.
http://dx.doi.org/10.1081/PDE-120020494
---------- CHICAGO ----------
Groisman, P., Rossi, J.D., Zaag, H. "On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem" . Communications in Partial Differential Equations 28, no. 3-4 (2003) : 737-744.
http://dx.doi.org/10.1081/PDE-120020494
---------- MLA ----------
Groisman, P., Rossi, J.D., Zaag, H. "On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem" . Communications in Partial Differential Equations, vol. 28, no. 3-4, 2003, pp. 737-744.
http://dx.doi.org/10.1081/PDE-120020494
---------- VANCOUVER ----------
Groisman, P., Rossi, J.D., Zaag, H. On the dependence of the blow-up time with respect to the initial data in a semilinear parabolic problem. Commun. Partial Differ. Equ. 2003;28(3-4):737-744.
http://dx.doi.org/10.1081/PDE-120020494