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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Note on counterexamples in strong unique continuation problems


Author: Thomas H. Wolff
Journal: Proc. Amer. Math. Soc. 114 (1992), 351-356
MSC: Primary 35B60; Secondary 35J05
MathSciNet review: 1014648
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Abstract: There are smooth functions on $ {\mathbb{R}^d}$ vanishing to infinite order at a point and satisfying the differential inequality $ \vert\Delta u\vert \leq V\vert u\vert$ with $ V \in $ weak $ {L^{d/2}}$, and with $ V \in {L^1}$ if $ d = 2$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1014648-2
PII: S 0002-9939(1992)1014648-2
Article copyright: © Copyright 1992 American Mathematical Society