Strichartz Estimates for Schrödinger Operators with a Non-smooth Magnetic Potential
نویسنده
چکیده
Abstract. We prove Strichartz estimates for the absolutely continuous evolution of a Schrödinger operator H = (i∇ + A) + V in R, n ≥ 3. Both the magnetic and electric potentials are time-independent and satisfy pointwise polynomial decay bounds. The vector potential A(x) is assumed to be continuous but need not possess any Sobolev regularity. This work is a refinement of previous methods, which required extra conditions on divA or |∇| 1 2 A in order to place the first order part of the perturbation within a suitable class of pseudo-differential operators.
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