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

Andr\'as Vasy

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

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arxiv 1808.06123 v1 pith:ZZQXZ4FG submitted 2018-08-18 math.AP

András Vasy This is my paper · ORCID

classification math.AP

keywords asymptoticallyconicenergynearresolventriemannianscatteringspaces

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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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Existence and asymptotics of nonlinear Helmholtz eigenfunctions
math.AP 2019-08 conditional novelty 6.0 of 10

Small nonlinear Helmholtz equations have solutions with prescribed incoming and outgoing wave patterns at infinity, on Euclidean space and asymptotically conic manifolds, under a dimension-degree condition.

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