Abstract
We give an explicit description of polynomial growth solutions to a uniformly elliptic operator of non-divergence form with periodic coefficients on the Euclidean spaces. We also show that the solutions are of one-to-one correspondence to harmonic polynomials if the coefficients of the operator are continuous.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3691-3699 |
| Number of pages | 9 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 129 |
| Issue number | 12 |
| State | Published - 2001 |