Note on counterexamples in strong unique continuation problems

Wolff, Thomas H.

doi:10.1090/S0002-9939-1992-1014648-2

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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 .

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