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Scattering Theory for the Fractional Power of Negative Laplacian

Volume 1, Number 1 (2010), 1 - 26

Scattering Theory for the Fractional Power of Negative Laplacian

Communicated By: 
Irena Lasiecka
Price: $20.00

Abstract

Scattering theory between the fractional power H0 = k−1(−D)k/2 (k 1) of negative Laplacian and the Hamiltonian H = H0+V perturbed by short- and long-range potentials is developed. The existence and asymptotic completeness of wave operators are proved.