Imaginary powers of Laplace operators
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.
|Collections||ANU Research Publications|
|Source:||Proceedings of the American Mathematical Society|
|01_Sikora_Imaginary_powers_of_Laplace_2000.pdf||196.83 kB||Adobe PDF|
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