Polynomial growth solutions to higher-order linear elliptic equations and systems

Roger Chen, Jiaping Wang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

For an equation or system of equations Lu = 0, where L is a uniformly elliptic operator of order 2m and u is a map from ℝn to ℝN, we prove that the dimension of the space of polynomial growth solutions of degree at most d is bounded by Cd2mnN, where C is a constant. If the system is in divergence form, we prove that this dimension is in fact bounded by CdmnN.

Original languageEnglish
Pages (from-to)49-61
Number of pages13
JournalPacific Journal of Mathematics
Volume229
Issue number1
DOIs
Publication statusPublished - 2007 Jan

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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