Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Author: Sergio Albeverio

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 444

ISBN-13: 3034880731

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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".

Recent Advances in Operator Theory and Its Applications
Recent Advances in Operator Theory and Its Applications

Author: Israel Gohberg

Publisher: Springer Science & Business Media

Published: 2005-09-16

Total Pages: 496

ISBN-13: 9783764372903

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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

Author: Daniel Alpay

Publisher: Springer Science & Business Media

Published: 2006

Total Pages: 292

ISBN-13: 9783764373702

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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

Author: Israel Gohberg

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 472

ISBN-13: 3034879261

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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.

Basic Classes of Linear Operators
Basic Classes of Linear Operators

Author: Israel Gohberg

Publisher: Springer Science & Business Media

Published: 2003-10-24

Total Pages: 448

ISBN-13: 9783764369309

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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

Author: Jan Janas

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 247

ISBN-13: 3034879474

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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.

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

Author: Samuil D. Eidelman

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 395

ISBN-13: 3034878443

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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.

Anomalies in Partial Differential Equations
Anomalies in Partial Differential Equations

Author: Massimo Cicognani

Publisher: Springer Nature

Published: 2021-02-03

Total Pages: 469

ISBN-13: 3030613461

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The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.

Selected Topics in Complex Analysis
Selected Topics in Complex Analysis

Author: Vladimir Ya. Eiderman

Publisher: Springer Science & Business Media

Published: 2005-04-20

Total Pages: 240

ISBN-13: 9783764372514

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This volume opens with a paper by V.P. Havin that presents a comprehensive survey of the work of mathematician S.Ya. Khavinson. It includes a complete bibliography, previously unpublished, of 163 items, and twelve peer-reviewed research and expository papers by leading mathematicians, including the joint paper by Khavinson and T.S. Kuzina. The emphasis is on the usage of tools from functional analysis, potential theory, algebra, and topology.