Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory

Original paper

Abstract

We show the existence of monotone in time solutions for a semilinear parabolic equation with memory. The blow-up rate estimate of the solution is known to be a consequence of the monotonicity property.

Mathematics Subject Classification (2000):

35K60 35B40 35R10 

Keywords.

Nonlocal parabolic equation nonlinear memory blow-up rate monotonicity 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Département de Mathématiques, Université de Picardie, INSSETSt-QuentinFrance
  2. 2.Laboratoire de Mathématiques Appliquées, UMR CNRS 7641, Université de VersaillesVersaillesFrance

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