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

Published online by Cambridge University Press:  10 March 2011

CRISTIAN ENACHE
CRISTIAN ENACHE*
Affiliation:
Department of Mathematics and Informatics, Ovidius University, Constanta, 900597, Romania e-mail: [email protected]
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Abstract

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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.

Keywords

35K2035B4535B30
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 569 - 575
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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