Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach

2019/05/30 by Vasy, Andras · 3 citations
#35L05 #58J40 #58J47 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35P25 #Secondary 58J50

paper · doi:10.48550/arxiv.1905.12809

Abstract

We use a Lagrangian regularity perspective to discuss resolvent estimates near zero energy on Riemannian scattering, i.e. asymptotically conic, spaces, and their generalizations. In addition to the Lagrangian perspective we introduce and use a resolved pseudodifferential algebra to deal with zero energy degeneracies in a robust manner.

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