Partial Differential Equations And Spectral Theory

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : Birkhäuser
Page : 346 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882316

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Partial Differential Equations and Spectral Theory by Michael Demuth,Bert-Wolfgang Schulze Pdf

The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.

Author : Michael Demuth,Bert-Wolfgang Schulze,Ingo Witt
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 41,6 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9783034800242

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Partial Differential Equations and Spectral Theory by Michael Demuth,Bert-Wolfgang Schulze,Ingo Witt Pdf

This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on future developments, hypotheses, and unsolved problems.

Author : Michael Demuth,Bert-Wolfgang Schulze,Ingo Witt
Publisher : Birkhäuser
Page : 341 pages
File Size : 42,9 Mb
Release : 2011-04-07
Category : Mathematics
ISBN : 3034800258

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Partial Differential Equations and Spectral Theory by Michael Demuth,Bert-Wolfgang Schulze,Ingo Witt Pdf

This volume collects six articles on selected topics at the frontier between partial differential equations and spectral theory, written by leading specialists in their respective field. The articles focus on topics that are in the center of attention of current research, with original contributions from the authors. They are written in a clear expository style that makes them accessible to a broader audience. The articles contain a detailed introduction and discuss recent progress, provide additional motivation, and develop the necessary tools. Moreover, the authors share their views on future developments, hypotheses, and unsolved problems.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 42,6 Mb
Release : 1991
Category : Differential equations, Partial
ISBN : 0387546774

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Partial Differential Equations by Anonim Pdf

Author : Christer Bennewitz,Malcolm Brown,Rudi Weikard
Publisher : Springer Nature
Page : 379 pages
File Size : 40,5 Mb
Release : 2020-10-27
Category : Mathematics
ISBN : 9783030590888

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Spectral and Scattering Theory for Ordinary Differential Equations by Christer Bennewitz,Malcolm Brown,Rudi Weikard Pdf

This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm–Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the left-definite theory for Sturm–Liouville equations. The modest prerequisites for this book are basic one-variable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.

Author : David Edmunds,Des Evans
Publisher : Oxford University Press
Page : 128 pages
File Size : 54,9 Mb
Release : 2018-05-03
Category : Mathematics
ISBN : 9780192540102

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Spectral Theory and Differential Operators by David Edmunds,Des Evans Pdf

This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Author : M.A. Shubin
Publisher : Springer Science & Business Media
Page : 278 pages
File Size : 50,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662067192

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Partial Differential Equations VII by M.A. Shubin Pdf

This EMS volume contains a survey of the principles and advanced techniques of the spectral theory of linear differential and pseudodifferential operators in finite-dimensional spaces. Also including a special section of Sunada's recent solution of Kac's celebrated problem of whether or not "one can hear the shape of a drum".

Author : Michael Demuth,Werner Kirsch
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 46,5 Mb
Release : 2014-07-08
Category : Mathematics
ISBN : 9783034805919

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Mathematical Physics, Spectral Theory and Stochastic Analysis by Michael Demuth,Werner Kirsch Pdf

This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.

Author : Michael Stephen Patrick Eastham
Publisher : Unknown
Page : 148 pages
File Size : 55,6 Mb
Release : 1973
Category : Differential equations
ISBN : UOM:39015058965974

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The Spectral Theory of Periodic Differential Equations by Michael Stephen Patrick Eastham Pdf

Author : Anonim
Publisher : Elsevier
Page : 209 pages
File Size : 52,8 Mb
Release : 2011-09-21
Category : Mathematics
ISBN : 0080871240

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Spectral Theory and Asymptotics of Differential Equations by Anonim Pdf

Spectral Theory and Asymptotics of Differential Equations

Author : David Borthwick
Publisher : Springer Nature
Page : 339 pages
File Size : 45,7 Mb
Release : 2020-03-12
Category : Mathematics
ISBN : 9783030380021

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Spectral Theory by David Borthwick Pdf

This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature. Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds. Spectral Theory offers a uniquely accessible introduction to ideas that invite further study in any number of different directions. A background in real and complex analysis is assumed; the author presents the requisite tools from functional analysis within the text. This introductory treatment would suit a functional analysis course intended as a pathway to linear PDE theory. Independent later chapters allow for flexibility in selecting applications to suit specific interests within a one-semester course.

Author : Michael Demuth,Bert-Wolfgang Schulze
Publisher : Birkhauser
Page : 353 pages
File Size : 55,9 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 0817662197

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Partial Differential Equations and Spectral Theory by Michael Demuth,Bert-Wolfgang Schulze Pdf

Author : M. S. Birman,Nina Nikolaevna Uraltseva
Publisher : American Mathematical Soc.
Page : 268 pages
File Size : 47,8 Mb
Release : 2007
Category : Mathematics
ISBN : 0821890743

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Nonlinear Equations and Spectral Theory by M. S. Birman,Nina Nikolaevna Uraltseva Pdf

Translations of articles on mathematics appearing in various Russian mathematical serials.

Author : W.N. Everitt
Publisher : Springer
Page : 338 pages
File Size : 45,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540374442

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Spectral Theory and Differential Equations by W.N. Everitt Pdf

Author : W. N. Everitt
Publisher : Unknown
Page : 340 pages
File Size : 42,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 366217135X

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Spectral Theory and Differential Equations by W. N. Everitt Pdf