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Imaginary powers of Laplace operators

Sikora, Adam; Wright, James


We show that if L is a second-order uniformly elliptic operator in divergence form on Rd, then C1(1+|a|)d/2 < \\Lia\\Li→L1,∞ ≥ C2(1+|a|)d/2. We also prove that the upper bounds remain true for any operator with the finite speed propagation property.

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Proceedings of the American Mathematical Society


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