## Tohoku Mathematical Journal

### Homoclinic and heteroclinic orbits for a semilinear parabolic equation

#### Abstract

We study the existence of connecting orbits for the Fujita equation with a critical or supercritical exponent. For certain ranges of the exponent we prove the existence of heteroclinic connections from positive steady states to zero and a homoclinic orbit with respect to zero.

#### Article information

Source
Tohoku Math. J. (2), Volume 63, Number 4 (2011), 561-579.

Dates
First available in Project Euclid: 6 January 2012

https://projecteuclid.org/euclid.tmj/1325886281

Digital Object Identifier
doi:10.2748/tmj/1325886281

Mathematical Reviews number (MathSciNet)
MR2872956

Zentralblatt MATH identifier
1252.35157

#### Citation

Fila, Marek; Yanagida, Eiji. Homoclinic and heteroclinic orbits for a semilinear parabolic equation. Tohoku Math. J. (2) 63 (2011), no. 4, 561--579. doi:10.2748/tmj/1325886281. https://projecteuclid.org/euclid.tmj/1325886281

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