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Shorter Notes: A New Proof of a Regularity Theorem for Elliptic Systems

K. Uhlenbeck
Proceedings of the American Mathematical Society
Vol. 37, No. 1 (Jan., 1973), pp. 315-316
DOI: 10.2307/2038755
Stable URL: http://www.jstor.org/stable/2038755
Page Count: 2
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Abstract

We give a proof, which makes use of the Riesz-Thorin theorem, for a smoothness theorem for solutions of elliptic systems in divergence form with bounded measurable coefficients. The results imply an important theorem in two dimensions due to Morrey [3]. Meyers has used a similar technique to get these results for elliptic equations [4].

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