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A note on linear elliptic systems on $\R^d$
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Ortner, Christoph and Süli, Endre (2012) A note on linear elliptic systems on $\R^d$. Working Paper. ArXiv e-prints. ArXiv e-prints (No.1202.3970v3).
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Official URL: http://arxiv.org/pdf/1202.3970v3.pdf
Abstract
We are concerned with the well-posedness of linear elliptic systems posed on $\mathbb{R}^d$. The concrete problem of interest, for which we require this theory, arises from the linearization of the equations of anisotropic finite elasticity, however, our results are more generally applicable to translation-invariant problem posed on $\mathbb{R}^d$. We describe a variant of homogeneous Sobolev spaces, which are convenient for treating problems of this kind.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | ArXiv e-prints | ||||
Publisher: | ArXiv e-prints | ||||
Official Date: | 13 April 2012 | ||||
Dates: |
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Number: | No.1202.3970v3 | ||||
Number of Pages: | 10 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Related URLs: |
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