A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
A. El Soufi, M. Jazar, R. Monneau (2007)
Annales de l'I.H.P. Analyse non linéaire
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A. El Soufi, M. Jazar, R. Monneau (2007)
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Zhou, Jun (2009)
Applied Mathematics E-Notes [electronic only]
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Annales de l'I.H.P. Analyse non linéaire
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This paper deals with the blow-up properties of positive solutions to a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions. Under certain conditions, criteria of global existence and finite time blow-up are established. Furthermore, when q=1, the global blow-up behavior and the uniform blow-up profile of the blow-up solution are described; we find that the blow-up set is the whole domain [0,a], including the boundary, in contrast to the case of...
Rossi, J.D. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Boundary Value Problems [electronic only]
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