Nonlinear Equations And Spectral Theory
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Author | : M. S. Birman |
Publisher | : American Mathematical Soc. |
Total Pages | : 268 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9780821890745 |
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Translations of articles on mathematics appearing in various Russian mathematical serials.
Author | : Julian Lopez-Gomez |
Publisher | : CRC Press |
Total Pages | : 281 |
Release | : 2001-03-28 |
Genre | : Mathematics |
ISBN | : 1420035509 |
Download Spectral Theory and Nonlinear Functional Analysis Book in PDF, Epub and Kindle
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.
Author | : M. Sh Birman |
Publisher | : |
Total Pages | : |
Release | : 2007 |
Genre | : |
ISBN | : 9781470434304 |
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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.
Author | : Jürgen Appell |
Publisher | : Walter de Gruyter |
Total Pages | : 421 |
Release | : 2008-08-22 |
Genre | : Mathematics |
ISBN | : 3110199262 |
Download Nonlinear Spectral Theory Book in PDF, Epub and Kindle
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.
Author | : Sergio Albeverio |
Publisher | : Birkhäuser |
Total Pages | : 444 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034880731 |
Download Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations Book in PDF, Epub and Kindle
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".
Author | : Julian Lopez-Gomez |
Publisher | : Chapman and Hall/CRC |
Total Pages | : 280 |
Release | : 2001-03-28 |
Genre | : Mathematics |
ISBN | : 9781584882497 |
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This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. It features the construction of an optimal algebraic/analytic invariant for calculating the Leray-Schauder degree, new methods for solving nonlinear equations in Banach spaces, and general properties of components of solutions sets presented with minimal use of topological tools. The author also gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers. Appealing to a broad audience, Spectral Theory and Nonlinear Functional Analysis contains many important contributions to linear algebra, linear and nonlinear functional analysis, and topology and opens the door for further advances.
Author | : |
Publisher | : |
Total Pages | : 246 |
Release | : 2007 |
Genre | : Differential equations, Nonlinear |
ISBN | : 9780821842096 |
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Author | : L.A. Sakhnovich |
Publisher | : Birkhäuser |
Total Pages | : 201 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034887132 |
Download Spectral Theory of Canonical Differential Systems. Method of Operator Identities Book in PDF, Epub and Kindle
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.
Author | : Santiago Cano-casanova |
Publisher | : World Scientific |
Total Pages | : 289 |
Release | : 2005-09-29 |
Genre | : Science |
ISBN | : 9814479268 |
Download Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology Book in PDF, Epub and Kindle
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.
Author | : E. Khruslov |
Publisher | : American Mathematical Society |
Total Pages | : 266 |
Release | : 2014-09-26 |
Genre | : Mathematics |
ISBN | : 1470416832 |
Download Spectral Theory and Differential Equations Book in PDF, Epub and Kindle
This volume is dedicated to V. A. Marchenko on the occasion of his 90th birthday. It contains refereed original papers and survey articles written by his colleagues and former students of international stature and focuses on the areas to which he made important contributions: spectral theory of differential and difference operators and related topics of mathematical physics, including inverse problems of spectral theory, homogenization theory, and the theory of integrable systems. The papers in the volume provide a comprehensive account of many of the most significant recent developments in that broad spectrum of areas.