## Tohoku Mathematical Journal

### On a fast diffusion equation with source

#### Abstract

We study in this paper the positive solution of the Cauchy problem for a fast diffusion equation with source. We derive a secondary critical exponent of the behavior of the initial value at infinity for the existence of global (in time) and nonglobal solutions of the Cauchy problem. Furthermore, the large time behaviors of those global solutions are also studied.

#### Article information

Source
Tohoku Math. J. (2), Volume 53, Number 4 (2001), 571-579.

Dates
First available in Project Euclid: 11 April 2005

https://projecteuclid.org/euclid.tmj/1113247801

Digital Object Identifier
doi:10.2748/tmj/1113247801

Mathematical Reviews number (MathSciNet)
MR1862219

Zentralblatt MATH identifier
0995.35035

#### Citation

Guo, Jong-Shenq; Guo, Yung-Jen L. On a fast diffusion equation with source. Tohoku Math. J. (2) 53 (2001), no. 4, 571--579. doi:10.2748/tmj/1113247801. https://projecteuclid.org/euclid.tmj/1113247801

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