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Strong Uniqueness for Schrödinger Operators with Kato Potentials

✍ Scribed by R. Regbaoui

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
359 KB
Volume
134
Category
Article
ISSN
0022-1236

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✦ Synopsis

We prove a strong unique continuation result for Schrödinger inequalities, i.e., we obtain that a flat (u) so that (|\Delta u| \leqslant|V u|) should be zero, provided that (V) is a radial Kato potential. It gives an extension of a result by E. B. Fabes, N. Garofalo and F. H. Lin [3] who got a weak local uniqueness theorem. Our method relies on sharp Carleman estimates. (\quad 1995) Academic Press. Inc.

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