Exponential Growth Solutions of Elliptic Equations

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Abstract

We show that for a class of second order divergence form elliptic equations on an infinite strip with the Dirichlet boundary condition, the space of fixed order exponential growth solutions is of finite dimension. An optimal estimation of the dimension is given. Examples also show that the finiteness property may not be true if one drops some of the conditions we make in our result.

Original languageEnglish (US)
Pages (from-to)525-534
Number of pages10
JournalActa Mathematica Sinica, English Series
Volume15
Issue number4
DOIs
StatePublished - Jan 1 1999

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Keywords

  • Elliptic equations
  • Exponential growth function
  • Mean value inequality
  • Poincarés inequality

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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