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Continuity of solutions of Schrödinger equations

Published online by Cambridge University Press:  24 October 2008

Mitsuru Nakai
Mitsuru Nakai
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa, Nagoya 466, Japan
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Extract

We denote by N(x, y) the Newtonian kernel on the d-dimensional Euclidean space (where d ≥ 2) so that N(x, y) = log|x–y|-1 for d = 2 and N(x, y) = |x−y|2−d for d ≥ 3. A signed Radon measure μ on an open subset Ω in d is said to be of Kato class if

for every y in Ω. where |μ| is the total variation measure of μ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 3 , November 1991 , pp. 581 - 597
Copyright
Copyright © Cambridge Philosophical Society 1991

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References

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