## Differential and Integral Equations

- Differential Integral Equations
- Volume 9, Number 4 (1996), 701-717.

### Periodic parabolic equations on $\mathbb{R}^N$ and applications

#### Abstract

Periodic parabolic reaction-diffusion equations on $\mathbb{R}^N$ are considered. Using the method of sub- and supersolutions time-periodic solutions are obtained, which are stable with respect to the $L_\infty$-norm. Particular attention is devoted to Fisher's equation from population genetics.

#### Article information

**Source**

Differential Integral Equations, Volume 9, Number 4 (1996), 701-717.

**Dates**

First available in Project Euclid: 7 May 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.die/1367969882

**Mathematical Reviews number (MathSciNet)**

MR1401432

**Zentralblatt MATH identifier**

0856.35008

**Subjects**

Primary: 35K57: Reaction-diffusion equations

Secondary: 35B10: Periodic solutions 35B35: Stability

#### Citation

Schätti, Guido. Periodic parabolic equations on $\mathbb{R}^N$ and applications. Differential Integral Equations 9 (1996), no. 4, 701--717. https://projecteuclid.org/euclid.die/1367969882