Best Uniform Approximation by Solutions of Elliptic Differential Equations

DOI10.2307/2154698zbMath0799.41024OpenAlexW4236498988MaRDI QIDQ4292751

D. Zwick, Paul M. Gauthier

Publication date: 18 May 1994

Full work available at URL: https://doi.org/10.2307/2154698

zbMATH Keywords

linear elliptic differential equationsbest uniform approximations

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Cites Work

• A counterexample in the theory of best approximation
• Approximation by harmonic functions of closed subsets of Riemann surfaces
• H-sets and best uniform approximation by solutions of elliptic differential equations
• Uniform Approximation on Closed Sets by Harmonic Functions with Newtonian Singularities
• Elliptic Partial Differential Equations of Second Order
• Uniform approximation on closed sets by solutions of elliptic partial differential equations
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