A density property for tensor products of gradients of harmonic functions and applications

We show that linear combinations of tensor products of k gradients of harmonic functions, with k at least three, are dense in C(Ω‾), for any bounded domain Ω in dimension 3 or higher. The bulk of the argument consists in showing that any smooth compactly supported k-tensor that is L2-orthogonal to a...

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Bibliographic Details
Published in:	Journal of functional analysis Vol. 284; no. 2; p. 109740
Main Authors:	Cârstea, Cătălin I., Feizmohammadi, Ali
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.01.2023
Subjects:	Gradients of harmonic functions Inverse problems Quasilinear elliptic systems Gradients of harmonic functions Quasilinear elliptic systems Inverse problems
ISSN:	0022-1236, 1096-0783
Online Access:	Get full text
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