Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
M. Jazar, R. Kiwan (2008)
Annales de l'I.H.P. Analyse non linéaire
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M. Jazar, R. Kiwan (2008)
Annales de l'I.H.P. Analyse non linéaire
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Bonetti, Elena, Bonfanti, Giovanna (2005)
Abstract and Applied Analysis
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R. Monneau, G. S. Weiss (2009)
Annales de l'I.H.P. Analyse non linéaire
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Willie, Robert (2003)
Journal of Applied Mathematics
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Santos, Lisa (2002)
Portugaliae Mathematica. Nova Série
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Steve Schochet (1999)
Journées équations aux dérivées partielles
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The blow-up of solutions to a quasilinear heat equation is studied using a similarity transformation that turns the equation into a nonlocal equation whose steady solutions are stable. This allows energy methods to be used, instead of the comparison principles used previously. Among the questions discussed are the time and location of blow-up of perturbations of the steady blow-up profile.
Marinho, A.O., Louredo, A.T., Lima, O.A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wang, Yulan, Mu, Chunlai, Xiang, Zhaoyin (2007)
Boundary Value Problems [electronic only]
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