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Blowup for a time-oscillating nonlinear heat equation

Author(s): Th. Cazenave | M. Escobedo | E. Zuazua

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXII;
Issue: 1;
Start page: 125;
Date: 2013;
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Keywords: Semilinear heat equation | time-oscillating nonlinearity | finite-time blowup

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.
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