Nonlinear Equations and Spectral Theory

Nonlinear Equations and Spectral Theory PDF Author: M. S. Birman
Publisher: American Mathematical Soc.
ISBN: 9780821890745
Category : Mathematics
Languages : en
Pages : 268

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Book Description
Translations of articles on mathematics appearing in various Russian mathematical serials.

Nonlinear Equations and Spectral Theory

Nonlinear Equations and Spectral Theory PDF Author: M. S. Birman
Publisher: American Mathematical Soc.
ISBN: 9780821890745
Category : Mathematics
Languages : en
Pages : 268

Get Book Here

Book Description
Translations of articles on mathematics appearing in various Russian mathematical serials.

Spectral Theory and Nonlinear Functional Analysis

Spectral Theory and Nonlinear Functional Analysis PDF Author: Julian Lopez-Gomez
Publisher: CRC Press
ISBN: 1420035509
Category : Mathematics
Languages : en
Pages : 281

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Book Description
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.

Nonlinear Spectral Theory

Nonlinear Spectral Theory PDF Author: Jürgen Appell
Publisher: Walter de Gruyter
ISBN: 3110199262
Category : Mathematics
Languages : de
Pages : 421

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Book Description
In view of the eminent importance of spectral theory of linear operators in many fields of mathematics and physics, it is not surprising that various attempts have been made to define and study spectra also for nonlinear operators. This book provides a comprehensive and self-contained treatment of the theory, methods, and applications of nonlinear spectral theory. The first chapter briefly recalls the definition and properties of the spectrum and several subspectra for bounded linear operators. Then some numerical characteristics for nonlinear operators are introduced which are useful for describing those classes of operators for which there exists a spectral theory. Since spectral values are closely related to solvability results for operator equations, various conditions for the local or global invertibility of a nonlinear operator are collected in the third chapter. The following two chapters are concerned with spectra for certain classes of continuous, Lipschitz continuous, or differentiable operators. These spectra, however, simply adapt the corresponding definitions from the linear theory which somehow restricts their applicability. Other spectra which are defined in a completely different way, but seem to have useful applications, are defined and studied in the following four chapters. The remaining three chapters are more application-oriented and deal with nonlinear eigenvalue problems, numerical ranges, and selected applications to nonlinear problems. The only prerequisite for understanding this book is a modest background in functional analysis and operator theory. It is addressed to non-specialists who want to get an idea of the development of spectral theory for nonlinear operators in the last 30 years, as well as a glimpse of the diversity of the directions in which current research is moving.

Nonlinear Equations and Spectral Theory

Nonlinear Equations and Spectral Theory PDF Author: M. Sh Birman
Publisher:
ISBN: 9781470434304
Category :
Languages : en
Pages :

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Book Description
This volume is devoted to the memory of the famous Saint Petersburg mathematician Olga Aleksandrovna Ladyzhenskaya. For many years she ran the Saint Petersburg Seminar on mathematical physics, which became a basis for the scientific school she created. The ten articles in the volume, written by students and colleagues of O. A. Ladyzhenskaya, are mainly devoted to boundary value problems for partial differential equations and to spectral problems for differential operators.

Nonlinear Equations and Spectral Theory

Nonlinear Equations and Spectral Theory PDF Author:
Publisher:
ISBN: 9780821842096
Category : Differential equations, Nonlinear
Languages : en
Pages : 246

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Book Description


Spectral Theory of Canonical Differential Systems. Method of Operator Identities

Spectral Theory of Canonical Differential Systems. Method of Operator Identities PDF Author: L.A. Sakhnovich
Publisher: Birkhäuser
ISBN: 3034887132
Category : Mathematics
Languages : en
Pages : 201

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Book Description
Theorems of factorising matrix functions and the operator identity method play an essential role in this book in constructing the spectral theory (direct and inverse problems) of canonical differential systems. Includes many varied applications of the general theory.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations PDF Author: Sergio Albeverio
Publisher: Birkhäuser
ISBN: 3034880731
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. Nine up-to-date contributions have been written on invitation by experts in the respective fields. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology

Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology PDF Author: Santiago Cano-casanova
Publisher: World Scientific
ISBN: 9814479268
Category : Science
Languages : en
Pages : 289

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Book Description
This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis — from the most abstract developments up to the most concrete applications to population dynamics and socio-biology — in an effort to fill the existing gaps between these fields.

Spectral Methods in Surface Superconductivity

Spectral Methods in Surface Superconductivity PDF Author: Søren Fournais
Publisher: Springer Science & Business Media
ISBN: 0817647961
Category : Mathematics
Languages : en
Pages : 333

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Book Description
This book examines in detail the nonlinear Ginzburg–Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large Ginzburg–Landau parameter kappa. Spectral Methods in Surface Superconductivity is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity.

Spectral Theory and Asymptotics of Differential Equations

Spectral Theory and Asymptotics of Differential Equations PDF Author:
Publisher: Elsevier
ISBN: 0080871240
Category : Mathematics
Languages : en
Pages : 219

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Book Description
Spectral Theory and Asymptotics of Differential Equations