## Differential and Integral Equations

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

Guido Schätti

#### 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

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