Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations (Paperback, 1st ed. 2019)

The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Pseudo-Differential Operators, 14
Release date:	May 2019
First published:	2019
Authors:	Johannes Sjoestrand
Dimensions:	240 x 168mm (L x W)
Format:	Paperback
Pages:	496
Edition:	1st ed. 2019
ISBN-13:	978-3-03-010818-2
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-03-010818-X
Barcode:	9783030108182

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