The work treats smoothing and dispersive properties of solutions to the Schr\"odinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing - Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is discussed too.
Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential
GUEORGUIEV, VLADIMIR SIMEONOV;
2007-01-01
Abstract
The work treats smoothing and dispersive properties of solutions to the Schr\"odinger equation with magnetic potential. Under suitable smallness assumption on the potential involving scale invariant norms we prove smoothing - Strichartz estimate for the corresponding Cauchy problem. An application that guarantees absence of pure point spectrum of the corresponding perturbed Laplace operator is discussed too.File in questo prodotto:
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