Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations


Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations
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Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations


Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations
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Author : Sergio Albeverio
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations written by Sergio Albeverio and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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".



Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations


Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations
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Author : Sergio Albeverio
language : en
Publisher: Birkhauser
Release Date : 2003

Nonlinear Hyperbolic Equations Spectral Theory And Wavelet Transformations written by Sergio Albeverio and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Differential equations, Hyperbolic categories.




Recent Advances In Operator Theory And Its Applications


Recent Advances In Operator Theory And Its Applications
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Author : Israel Gohberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-09-16

Recent Advances In Operator Theory And Its Applications written by Israel Gohberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-16 with Mathematics categories.


This book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003. The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. The book will be of interest to a wide audience of pure and applied mathematicians and engineers.



The State Space Method


The State Space Method
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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2006

The State Space Method written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Language Arts & Disciplines categories.


The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.



Operator Theoretical Methods And Applications To Mathematical Physics


Operator Theoretical Methods And Applications To Mathematical Physics
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Author : Israel Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Operator Theoretical Methods And Applications To Mathematical Physics written by Israel Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book.



Spectral Transform And Solitons


Spectral Transform And Solitons
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Author : F. Calogero
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Spectral Transform And Solitons written by F. Calogero and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.


Spectral Transform and Solitons



Basic Classes Of Linear Operators


Basic Classes Of Linear Operators
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Author : Israel Gohberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-24

Basic Classes Of Linear Operators written by Israel Gohberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-24 with Mathematics categories.


A comprehensive graduate textbook that introduces functional analysis with an emphasis on the theory of linear operators and its application to differential equations, integral equations, infinite systems of linear equations, approximation theory, and numerical analysis. As a textbook designed for senior undergraduate and graduate students, it begins with the geometry of Hilbert spaces and proceeds to the theory of linear operators on these spaces including Banach spaces. Presented as a natural continuation of linear algebra, the book provides a firm foundation in operator theory which is an essential part of mathematical training for students of mathematics, engineering, and other technical sciences.



Spectral Methods For Operators Of Mathematical Physics


Spectral Methods For Operators Of Mathematical Physics
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Author : Jan Janas
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Spectral Methods For Operators Of Mathematical Physics written by Jan Janas and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


This book presents recent results in the following areas: spectral analysis of one-dimensional Schrödinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.



Nonlinear Waves A Geometrical Approach


Nonlinear Waves A Geometrical Approach
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Author : Angela Slavova
language : en
Publisher: World Scientific Publishing
Release Date : 2018-11-16

Nonlinear Waves A Geometrical Approach written by Angela Slavova and has been published by World Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-16 with Mathematics categories.


This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications of these: the KdV equation, Fornberg-Whitham equation, Vakhnenko equation, Camassa-Holm equation, several versions of the NLS equation, Kaup-Kupershmidt equation, Boussinesq paradigm, and Manakov system, amongst others, as well as symmetrizable quasilinear hyperbolic systems arising in fluid dynamics.Readers not familiar with the complicated methods used in the theory of the equations of mathematical physics (functional analysis, harmonic analysis, spectral theory, topological methods, a priori estimates, conservation laws) can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation (solitons, kinks, peakons, ovals, loops, rogue waves) are found and their interactions are studied and geometrically visualized. To do this, classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. At the end, the paradifferential approach is used.This volume is self-contained and equipped with simple proofs. It contains many exercises and examples arising from the applications in mechanics, physics, optics and, quantum mechanics.



Analytic Methods In The Theory Of Differential And Pseudo Differential Equations Of Parabolic Type


Analytic Methods In The Theory Of Differential And Pseudo Differential Equations Of Parabolic Type
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Author : Samuil D. Eidelman
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Analytic Methods In The Theory Of Differential And Pseudo Differential Equations Of Parabolic Type written by Samuil D. Eidelman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.