A survey of topics related to Functional Analysis and Applied Sciences

Denise  Huet

doi:10.24297/jam.v20i.9066

Authors

Denise Huet INSTITUT ELIE CARTAN DE NANCY

DOI:

https://doi.org/10.24297/jam.v20i.9066

Keywords:

funtinal analysis, applied sciences

Abstract

This survey is the result of investigations suggested by recent publications on functional analysis and applied sciences. It contains short accounts of the above theories not usually combined in a single document and completes the work of D. Huet 2017. The main topics which are dealt with involve spectrum and pseudospectra of partial differential equations, Steklov eigenproblems, harmonic Bergman spaces, rotation number and homeomorphisms of the circle, spectral flow, homogenization. Applications to different types of natural sciences such as echosystems, biology, elasticity, electromagnetisme, quantum mechanics, are also presented. It aims to be a useful tool for advanced students in mathematics and applied sciences.

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