Vol. 3, No. 1, 2021

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Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces

András Vasy

Vol. 3 (2021), No. 1, 1–74
Abstract

We give resolvent estimates near zero energy on Riemannian scattering, i.e., asymptotically conic, spaces, and their generalizations, using a uniform microlocal Fredholm analysis framework.

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Keywords
asymptotically conic spaces, scattering theory, Fredholm theory, low energy, microlocal analysis, variable order Sobolev spaces
Mathematical Subject Classification 2010
Primary: 58J50
Secondary: 35P25, 58J40, 58J47
Milestones
Received: 7 November 2018
Revised: 21 July 2020
Accepted: 19 January 2021
Published: 28 May 2021
Authors
András Vasy
Department of Mathematics
Stanford University
CA
United States