Advances in Differential Equations
- Adv. Differential Equations
- Volume 18, Number 3/4 (2013), 243-264.
Critical Fujita exponent for the diffusion equation in transparent media with source having power-like non-linearities
In this paper we study blow-up phenomena of the solutions of a reaction-diffusion equation for which the diffusion term corresponds to the diffusion equation in transparent media. We show that for this equation the critical Fujita exponent is smaller than the classical one.
Adv. Differential Equations Volume 18, Number 3/4 (2013), 243-264.
First available in Project Euclid: 5 February 2013
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Mazón, J.M. Critical Fujita exponent for the diffusion equation in transparent media with source having power-like non-linearities. Adv. Differential Equations 18 (2013), no. 3/4, 243--264. https://projecteuclid.org/euclid.ade/1360073017