An irregular complex valued solution to a scalar uniformly elliptic equation |
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| Authors: | Jens Frehse |
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| Affiliation: | 1. Institut für Angewandte Mathematik, Universit?t Bonn, Beringstr. 6, 53115, Bonn, Germany
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| Abstract: | We present an irregular weak solution  of a uniformly elliptic scalar equation in divergence form with measurable coefficients. The solution has a square integrable
gradient. Such examples have been known for dimension n ≥ 5 only.
The author was partially supported by SFB 611. |
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| Keywords: | Mathematics Subject Classification (2000) Primary: 35B65 Secondary: 35J15 |
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