Uniform approximation by solutions of general boundary value problems for elliptic equations of arbitrary order I
Günther Wildenhain
Universität Rostock, Germany
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Abstract
Let be a bounded, smooth domain, a closed, smooth, -dimensional surface in the interior of and an open subset of the boundary . In we consider a properly elliptic differential operator of arbitrary order with smooth coefficients. Let be a normal system of boundary operators on , which fulfils the classical roots condition. denotes the space of the restrictions on of the functions from
Among other things it is proved, that the space is dense in the space of the Whitney-Taylorfields of the order , i.e. all derivatives up to the order can be uniformly approximated on .
Cite this article
Günther Wildenhain, Uniform approximation by solutions of general boundary value problems for elliptic equations of arbitrary order I. Z. Anal. Anwend. 2 (1983), no. 6, pp. 511–521
DOI 10.4171/ZAA/82