Blowup for a time-oscillating nonlinear heat equationReport as inadecuate




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1 LJLL - Laboratoire Jacques-Louis Lions 2 Departamento de Matemáticas Bilbao 3 BCAM - Basque Center for Applied Mathematics

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





Author: Thierry Cazenave - Miguel Escobedo - Enrique Zuazua -

Source: https://hal.archives-ouvertes.fr/



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