On the Linearized Local Calderón Problem
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چکیده
In this article, we investigate a density problem coming from the linearization of Calderón’s problem with partial data. More precisely, we prove that the set of products of harmonic functions on a bounded smooth domain Ω vanishing on any fixed closed proper subset of the boundary are dense in L(Ω) in all dimensions n ≥ 2. This is proved using ideas coming from the proof of Kashiwara’s Watermelon theorem [14].
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تاریخ انتشار 2009