Moment Theory And Some Inverse Problems In Potential Theory And Heat Conduction

Author : Dang D. Ang,Rudolf Gorenflo,Vy K. Le,Dang D. Trong
Publisher : Springer
Page : 186 pages
File Size : 46,5 Mb
Release : 2004-10-14
Category : Mathematics
ISBN : 9783540456582

Get Book

Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction by Dang D. Ang,Rudolf Gorenflo,Vy K. Le,Dang D. Trong Pdf

Moment Theory is not a new subject; however, in classical treatments, the ill-posedness of the problem is not taken into account - hence this monograph. Assuming a "true" solution to be uniquely determined by a sequence of moments (given as integrals) of which only finitely many are inaccurately given, the authors describe and analyze several regularization methods and derive stability estimates. Mathematically, the task often consists in the reconstruction of an analytic or harmonic function, as is natural from concrete applications discussed (e.g. inverse heat conduction problems, Cauchy's problem for the Laplace equation, gravimetry). The book can be used in a graduate or upper undergraduate course in Inverse Problems, or as supplementary reading for a course on Applied Partial Differential Equations.

Author : Christophe Goupil
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 45,7 Mb
Release : 2016-02-23
Category : Science
ISBN : 9783527413379

Get Book

Continuum Theory and Modeling of Thermoelectric Elements by Christophe Goupil Pdf

Sound knowledge of the latest research results in the thermodynamics and design of thermoelectric devices, providing a solid foundation for thermoelectric element and module design in the technical development process and thus serving as an indispensable tool for any application development. The text is aimed mainly at the project developer in the field of thermoelectric technology, both in academia and industry, as well as at graduate and advanced undergraduate students. Some core sections address the specialist in the field of thermoelectric energy conversion, providing detailed discussion of key points with regard to optimization. The international team of authors with experience in thermoelectrics research represents such institutes as EnsiCaen Universite de Paris, JPL, CalTech, and the German Aerospace Center.

Author : C. W. Groetsch
Publisher : Springer Science & Business Media
Page : 134 pages
File Size : 55,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9783540399421

Get Book

Stable Approximate Evaluation of Unbounded Operators by C. W. Groetsch Pdf

Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.

Author : Pei Dang,Min Ku,Tao Qian,Luigi G. Rodino
Publisher : Birkhäuser
Page : 609 pages
File Size : 50,8 Mb
Release : 2017-04-18
Category : Mathematics
ISBN : 9783319488127

Get Book

New Trends in Analysis and Interdisciplinary Applications by Pei Dang,Min Ku,Tao Qian,Luigi G. Rodino Pdf

This book presents a collection of papers from the 10th ISAAC Congress 2015, held in Macau, China. The papers, prepared by respected international experts, address recent results in Mathematics, with a special focus on Analysis. By structuring the content according to the various mathematical topics, the volume offers specialists and non-specialists alike an excellent source of information on the state-of-the-art in Mathematical Analysis and its interdisciplinary applications.

Author : Lluís Alsedà i Soler,Jim M. Cushing,Saber Elaydi,Alberto A. Pinto
Publisher : Springer
Page : 335 pages
File Size : 43,9 Mb
Release : 2016-10-22
Category : Mathematics
ISBN : 9783662529270

Get Book

Difference Equations, Discrete Dynamical Systems and Applications by Lluís Alsedà i Soler,Jim M. Cushing,Saber Elaydi,Alberto A. Pinto Pdf

These proceedings of the 18th International Conference on Difference Equations and Applications cover a number of different aspects of difference equations and discrete dynamical systems, as well as the interplay between difference equations and dynamical systems. The conference was organized by the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB) under the auspices of the International Society of Difference Equations (ISDE) and held in Barcelona (Catalonia, Spain) in July 2012. Its purpose was to bring together experts and novices in these fields to discuss the latest developments. The book gathers contributions in the field of combinatorial and topological dynamics, complex dynamics, applications of difference equations to biology, chaotic linear dynamics, economic dynamics and control and asymptotic behavior, and periodicity of difference equations. As such it is of interest to researchers and scientists engaged in the theory and applications of difference equations and discrete dynamical systems.

Author : Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin
Publisher : Springer
Page : 360 pages
File Size : 55,5 Mb
Release : 2008-06-24
Category : Science
ISBN : 9783540776536

Get Book

Nonlinear and Optimal Control Theory by Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin Pdf

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.

Author : Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach
Publisher : Springer
Page : 389 pages
File Size : 53,5 Mb
Release : 2008-02-22
Category : Mathematics
ISBN : 9783540768920

Get Book

Representation Theory and Complex Analysis by Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach Pdf

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Author : Stefan Teufel
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 42,7 Mb
Release : 2003
Category : Perturbation (Quantum dynamics)
ISBN : 3540407235

Get Book

Adiabatic Perturbation Theory in Quantum Dynamics by Stefan Teufel Pdf

Author : Michael Wilson
Publisher : Springer Science & Business Media
Page : 233 pages
File Size : 44,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9783540745822

Get Book

Weighted Littlewood-Paley Theory and Exponential-Square Integrability by Michael Wilson Pdf

Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn’t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. The present book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.

Author : Amir Dembo,Tadahisa Funaki
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 55,5 Mb
Release : 2005-11-03
Category : Mathematics
ISBN : 3540260692

Get Book

Lectures on Probability Theory and Statistics by Amir Dembo,Tadahisa Funaki Pdf

This volume contains two of the three lectures that were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo’s course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funaki’s course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.

Author : Huishi Li
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 42,9 Mb
Release : 2002-10-23
Category : Computers
ISBN : 3540441964

Get Book

Noncommutative Gröbner Bases and Filtered-Graded Transfer by Huishi Li Pdf

This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.

Author : Aníbal Moltó
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 53,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9783540850304

Get Book

A Nonlinear Transfer Technique for Renorming by Aníbal Moltó Pdf

Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis for the topologies involved inside the problem. Maps from a normed space X to a metric space Y, which provide locally uniformly rotund renormings on X, are studied and a new frame for the theory is obtained, with interplay between functional analysis, optimization and topology using subdifferentials of Lipschitz functions and covering methods of metrization theory. Any one-to-one operator T from a reflexive space X into c0 (T) satisfies the authors' conditions, transferring the norm to X. Nevertheless the authors' maps can be far from linear, for instance the duality map from X to X* gives a non-linear example when the norm in X is Fréchet differentiable. This volume will be interesting for the broad spectrum of specialists working in Banach space theory, and for researchers in infinite dimensional functional analysis.

Author : Joris van der Hoeven
Publisher : Springer
Page : 260 pages
File Size : 44,9 Mb
Release : 2006-10-31
Category : Mathematics
ISBN : 9783540355915

Get Book

Transseries and Real Differential Algebra by Joris van der Hoeven Pdf

Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.

Author : Andras Telcs
Publisher : Springer
Page : 200 pages
File Size : 45,6 Mb
Release : 2006-10-18
Category : Mathematics
ISBN : 9783540330288

Get Book

The Art of Random Walks by Andras Telcs Pdf

The main aim of this book is to reveal connections between the physical and geometric properties of space and diffusion. This is done in the context of random walks in the absence of algebraic structure, local or global spatial symmetry or self-similarity. The author studies heat diffusion at this general level and discusses the multiplicative Einstein relation; Isoperimetric inequalities; and Heat kernel estimates; Elliptic and parabolic Harnack inequality.

Author : Katharina Habermann,Lutz Habermann
Publisher : Springer
Page : 125 pages
File Size : 45,5 Mb
Release : 2006-10-28
Category : Mathematics
ISBN : 9783540334217

Get Book

Introduction to Symplectic Dirac Operators by Katharina Habermann,Lutz Habermann Pdf

This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.