Nonlinear Spectral Theory With Applications To Nonlinear Noise PDF Download
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Author | : William Arveson |
Publisher | : |
Total Pages | : 290 |
Release | : 1979 |
Genre | : Nonlinear theories |
ISBN | : |
Download Nonlinear Spectral Theory, with Applications to Nonlinear Noise Book in PDF, ePub and Kindle
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 | : Everette Lee May |
Publisher | : |
Total Pages | : 140 |
Release | : 1971 |
Genre | : Nonlinear theories |
ISBN | : |
Download Nonlinear Spectral Theory Book in PDF, ePub and Kindle
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 | : Svatopluk Fucik |
Publisher | : |
Total Pages | : 0 |
Release | : 1973 |
Genre | : Boundary value problems |
ISBN | : |
Download Spectral Analysis of Nonlinear Operators Book in PDF, ePub and Kindle
Author | : Janusz Mierczynski |
Publisher | : Chapman and Hall/CRC |
Total Pages | : 0 |
Release | : 2008-03-24 |
Genre | : Mathematics |
ISBN | : 9781584888956 |
Download Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications Book in PDF, ePub and Kindle
Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers existing results from a fresh perspective. Taking a clear, unified, and self-contained approach, the authors first develop the abstract general theory in the framework of weak solutions, before turning to cases of random and nonautonomous equations. They prove that time dependence and randomness do not reduce the principal spectrum and Lyapunov exponents of nonautonomous and random parabolic equations. The book also addresses classical Faber–Krahn inequalities for elliptic and time-periodic problems and extends the linear theory for scalar nonautonomous and random parabolic equations to cooperative systems. The final chapter presents applications to Kolmogorov systems of parabolic equations. By thoroughly explaining the spectral theory for nonautonomous and random linear parabolic equations, this resource reveals the importance of the theory in examining nonlinear problems.
Author | : R. Chiappinelli |
Publisher | : |
Total Pages | : |
Release | : 1986 |
Genre | : |
ISBN | : |
Download Some Problems in Nonlinear Spectral Theory Book in PDF, ePub and Kindle
Author | : Norbert Wiener |
Publisher | : American Mathematical Soc. |
Total Pages | : 429 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0821804154 |
Download The Legacy of Norbert Wiener: A Centennial Symposium Book in PDF, ePub and Kindle
This book contains lectures presented at the MIT symposium on the 100th anniversary of Norbert Wiener's birth held in October 1994. The topics reflect Wiener's main interests while emphasizing current developments. In addition to lectures dealing directly with problems on which Wiener worked, such as potential theory, harmonic analysis, Wiener-Hopf theory, and Paley-Wiener theory, the book discusses the following topics: BLFourier integral operators with complex phase (a contemporary successor to the Paley-Wiener theory) BLstatistical aspects of quantum mechanics and of liquid crystals BLfinancial markets, including the new trading strategies for options based on Wiener processes BLstatistical methods of genetic research BLmodels of the nervous system, pattern recognition, and the nature of intelligence The volume includes reviews on Norbert Wiener's contributions from historical and current perspectives. This book gives mathematical researchers an overview of new mathematical problems presented by other areas and gives researchers in other fields a broad overview of the ways in which advanced mathematics might be useful to them.
Author | : S. Fucik |
Publisher | : Lecture Notes in Mathematics |
Total Pages | : 302 |
Release | : 1973-11-19 |
Genre | : Mathematics |
ISBN | : |
Download Spectral Analysis of Nonlinear Operators Book in PDF, ePub and Kindle
Author | : Mathematisches Forschungsinstitut Oberwolfach |
Publisher | : |
Total Pages | : 31 |
Release | : 2004 |
Genre | : |
ISBN | : |
Download Nonlinear Spectral and Eigenvalue Theory with Applications to the P-Laplace Operator Book in PDF, ePub and Kindle