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Springer Microlocal Analysis and Spectral Asymptotics Vol 1

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Description

This monograph from Springer provides a deep exploration of sharp spectral asymptotics for various classes of partial differential operators. Utilizing techniques from semiclassical microlocal analysis, specifically the propagation of singularities, the text establishes a framework for understanding these mathematical phenomena. The work focuses on using variational estimates within small domains to analyze domains containing different types of singularities. As the first volume in a five-volume series, this book develops the general theory and methods that are later applied to complex areas such as the Magnetic Schrodinger operator, multiparticle quantum theory, and various miscellaneous mathematical problems. It serves as a foundational resource for researchers studying semiclassical microlocal analysis and local and microlocal semiclassical asymptotics.

Key Features

This Springer monograph focuses on deriving sharp spectral asymptotics for broad classes of partial differential operators.

The text utilizes advanced techniques from semiclassical microlocal analysis, including the propagation of singularities.

Research methods include using variational estimates in small domains to examine domains with different kinds of singularities.

This first volume establishes the general theory and methods used in subsequent applications like the Magnetic Schrodinger operator.

The mathematical content supports advanced study in multiparticle quantum theory and other specialized problems.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
26 September 2020
Listed Since
27 September 2020

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