ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Blowup for a time-oscillating nonlinear heat equation

Th. Cazenave, M. Escobedo and E. Zuazua

Received: June 19, 2012;   Revised: August 31, 2010;   Accepted: August 31, 2012



Abstract.   In this paper, we study a nonlinear heat equation with a periodic time-oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according to both the frequency of the oscillating factor and the size of the initial value.  

Keywords:  Semilinear heat equation; time-oscillating nonlinearity; finite-time blowup  

AMS Subject classification: Primary:  35K91  Secondary: 35B44, 35B40


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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