Abstract
The paper is concerned with stable subharmonic solutions of time-periodic spatially inhomogeneous reaction-diffusion equations. We show that such solutions exist on any spatial domain, provided the nonlinearity is chosen suitably. This contrasts with our previous results on spatially homogeneous equations that admit stable subharmonic solutions on some, but not on arbitrary domains.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 209-218 |
| Number of pages | 10 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2002 |
Keywords
- Monotonicity method
- Periodic parabolic equations
- Stable subharmonic solutions