Viscosity Limits for Zeroth‐Order Pseudodifferential Operators

نویسندگان

چکیده

Motivated by the work of Colin de Verdière and Saint-Raymond on spectral theory for zeroth-order pseudodifferential operators tori, we consider viscosity limits in which operators, P, are replaced P + iν Δ, ν > 0. By adapting Helffer–Sjöstrand scattering resonances, show that, a complex neighbourhood continuous spectrum, eigenvalues Δ have as goes to In simplified setting this justifies claims made physics literature. © 2021 The Authors. Communications Pure Applied Mathematics published Wiley Periodicals LLC.

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ژورنال

عنوان ژورنال: Communications on Pure and Applied Mathematics

سال: 2022

ISSN: ['1097-0312', '0010-3640']

DOI: https://doi.org/10.1002/cpa.22072