Abstract
In this paper we study the uniform approximation of continuous functions on compact subsets of R n by solutions of second order elliptic equations. Also we discuss the problem of existence of a continuous best approximation and the connection of the approximation problem to some isoperimetric inequalities.
This work has been supported in part by the National Science Foundation under the grant #DMS 8618755.
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© 1988 Birkhäuser Verlag Basel
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Khavinson, D. (1988). Duality and Uniform Approximation by Solutions of Elliptic Equations. In: Gohberg, I., Helton, J.W., Rodman, L. (eds) Contributions to Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 35. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9284-1_6
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DOI: https://doi.org/10.1007/978-3-0348-9284-1_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9978-9
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