Motivated by recent results by M. Mazalov about uniform approximation of functions by solutions of elliptic equations with constant complex coefficients we study two problems on approximation of functions by solutions of general homogeneous elliptic second-order systems of partial differential equations. The approximation is considered in spaces of continuous and C1 -functions on compact sets in the complex plane.

Original languageEnglish
Pages (from-to)961-975
Number of pages15
JournalComplex Variables and Elliptic Equations
Volume63
Issue number7-8
DOIs
StatePublished - 3 Aug 2018

    Research areas

  • -approximation, Primary: 30E10, Second-order elliptic system, Secondary: 35J47, uniform approximation

    Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

ID: 86669025