Pseudo-Differential Operators on Manifolds with a Singular Boundary

Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The aim of this work is to describe new interesting examples of non-smooth manifolds and elliptic pseudo-differential operators acting in functional spaces on such manifolds. Fredholm properties for these operators are studied by factorization methods, and these are based on several complex variables.

Keywords

Pseudo-differential operator Local representative Bochner operator Wave factorization 

Mathematics Subject Classification (2010)

Primary 47G30; Secondary 32A07 

Notes

Acknowledgements

This work was supported by the State contract of the Russian Ministry of Education and Science (contract No 1.7311.2017/B).

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Chair of Differential EquationsBelgorod National Research UniversityBelgorodRussia

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