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Displaying similar documents to “Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions”

Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions

Youpeng Chen, Baozhu Zheng (2015)

Annales Polonici Mathematici

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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...