Abstract
We give a simple proof of the uniqueness, up to scalar multiples, of positive entire solutions of linear nonautonomous parabolic equations. The proof is based on a new result on exponential growth of certain expressions involving solutions of the adjoint equation. We also discuss the relation of this result to the exponential separation theorem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 13-26 |
| Number of pages | 14 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2005 |
Keywords
- Entire solutions
- Exponential separation
- Second order parabolic equations
- Uniqueness