a1 Department of Mathematics and Informatics, Ovidius University, Constanta, 900597, Romania e-mail: email@example.com
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.
(Received May 13 2010)
(Accepted September 21 2010)
(Online publication March 10 2011)
2010 Mathematics Subject Classification