New remarks on the scattering for a perturbed polyharmonic operator

Grigori Rozenblum

Chalmers University of Technology, Gothenburg, Sweden

Abstract: We obtain sufficient conditions for the perturbation of the power of the resolvent of the polyharmonic operator under a perturbation by a highly singular potential to belong to Schatten classes.

Keywords: Schrödinger operator, perturbed resolvent, singular potentials.

MSC: 35P25, 35P15, 81U05

Received: 13.01.2025
Revised: 31.03.2025
Accepted: 01.04.2025

DOI: 10.4213/faa4285

 English version: Functional Analysis and Its Applications, 2025, 59:3, 321–329

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