LOWER BOUNDS FOR BLOW-UP TIME IN SOME NON-LINEAR PARABOLIC PROBLEMS UNDER NEUMANN BOUNDARY CONDITIONS

Authors :: Cristian Enache
Source :: Glasgow Mathematical Journal. 53:569-575
Publication Year :: 2011
Publisher :: Cambridge University Press (CUP), 2011.
Abstract: This paper deals with some non-linear initial-boundary value problems under homogeneous Neumann boundary conditions, in which the solutions may blow up in finite time. Using a first-order differential inequality technique, lower bounds for blow-up time are determined.

Subjects :: Nonlinear system
Homogeneous
General Mathematics
Mathematical analysis
Neumann boundary condition
Mixed boundary condition
Finite time
Differential inequalities
Mathematics

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