Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

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

100%

Chen Y., Zheng B.

Annales Polonici Mathematici

2015

tom 114

nr 2

179-196

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 parabolic equations with local sources or with homogeneous Dirichlet boundary conditions.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Chen Y.

1 Zheng B.

1 2015

Wyniki wyszukiwania

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