On the backward uniqueness property for the heat equation in two-dimensional conical domains
In this article we deal with the backward uniqueness property of the heat equation in conical domains in two spatial dimensions via Carleman inequality techniques. Using a microlocal interpretation of the pseudoconvexity condition, we improve the bounds of \v{S}ver\'ak and Li on the minimal ang...
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| Main Author: | |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
24 Oct 2013
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| In: |
Arxiv
Year: 2013, Pages: 1-23 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1310.6655
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| Author Notes: | Angkana Rüland |
MARC
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| 520 | |a In this article we deal with the backward uniqueness property of the heat equation in conical domains in two spatial dimensions via Carleman inequality techniques. Using a microlocal interpretation of the pseudoconvexity condition, we improve the bounds of \v{S}ver\'ak and Li on the minimal angle in which the backward uniqueness property is displayed: We reach angles of slightly less than $95^{\circ}$. Via two-dimensional limiting Carleman weights we obtain the uniqueness of possible controls of the heat equation with lower order perturbations in conical domains with opening angles larger than $90^{\circ} | ||
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