Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential

Details Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential Smoothing - Strichartz Estimates for the Schrodinger Equation with small Magnetic Potential

2005-09-19

arxiv.org/abs/math/0509416v2

Discrete and Continuous Dynamical Sysrems, vol. 17(4), 2007, p.771 - 786

Mathematics

Algebraic Topology

Scientific paper

The work treats smoothing and dispersive properties of solutions to the Schrodinger 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.

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