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Field name	Details
Dewey Class	515.9
Title	Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations ([EBook]) / by Johannes Sjöstrand.
Author	Sjöstrand, Johannes
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2019.
Publication	Cham : Springer International Publishing , 2019.
Physical Details	X, 496 pages: 71 illus., 69 illus. in color. : online resource.
Series	Pseudo-Differential Operators, Theory and Applications ; 14
ISBN	9783030108199
Summary Note	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.:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-10819-9
Links to Related Works	Subject References: Differential Equations . Functions of a Complex Variable . Functions of complex variables . Operator Theory . Ordinary differential equations . Partial differential equations . Several Complex Variables and Analytic Spaces . Authors: author . Sjöstrand, Johannes . Corporate Authors: SpringerLink (Online service) . Series: Pseudo-Differential Operators, Theory and Applications . Classification: 515.9 . 515.9 (DDC 23) .

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Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations

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