Semiclassical resolvent bound for compactly supporte potentials

  • Jacob Shapiro

    The Australian National University, Canberra, Australia
Semiclassical resolvent bound for compactly supporte $L^\infty$ potentials cover

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Abstract

We give an elementary proof of a weighted resolvent estimate for semiclassical Schrödinger operators in dimension . We require the potential belong to and have compact support, but do not require that it have distributional derivatives in . The weighted resolvent norm is bounded by , where is the semiclassical parameter.

Cite this article

Jacob Shapiro, Semiclassical resolvent bound for compactly supporte potentials. J. Spectr. Theory 10 (2020), no. 2, pp. 651–672

DOI 10.4171/JST/308