Polynomial growth solutions of uniformly elliptic operators of non-divergence form
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- by Peter Li and Jiaping Wang PDF
- Proc. Amer. Math. Soc. 129 (2001), 3691-3699 Request permission
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.References
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Additional Information
- Peter Li
- Affiliation: Department of Mathematics, University of California, Irvine, California 92697-3875
- Email: pli@math.uci.edu
- Jiaping Wang
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- MR Author ID: 262686
- Email: jiaping@math.umn.edu
- Received by editor(s): May 2, 2000
- Published electronically: May 10, 2001
- Additional Notes: The first author’s research was partially supported by NSF grant #DMS-9971418
The second author’s research was partially supported by NSF grant #DMS-9704482 - Communicated by: Bennett Chow
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3691-3699
- MSC (2000): Primary 35J15
- DOI: https://doi.org/10.1090/S0002-9939-01-06167-6
- MathSciNet review: 1860504