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)|
|Number of pages||9|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Dec 1 2001|