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

Roger Chen, Jiaping Wang

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)49-61
頁數13
期刊Pacific Journal of Mathematics
229
發行號1
DOIs
出版狀態Published - 2007 一月

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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