Phase Space Analysis Of Partial Differential Equations

Phase Space Analysis Of Partial Differential Equations Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Phase Space Analysis Of Partial Differential Equations book. This book definitely worth reading, it is an incredibly well-written.

Phase Space Analysis of Partial Differential Equations

Antonio Bove,Ferruccio Colombini,Daniele Del Santo
Phase Space Analysis of Partial Differential Equations Book PDF

Author : Antonio Bove,Ferruccio Colombini,Daniele Del Santo
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 50,5 Mb
Release : 2007-12-28
Category : Mathematics
ISBN : 9780817645212

Get Book

Phase Space Analysis of Partial Differential Equations by Antonio Bove,Ferruccio Colombini,Daniele Del Santo Pdf

Covers phase space analysis methods, including microlocal analysis, and their applications to physics Treats the linear and nonnlinear aspects of the theory of PDEs Original articles are self-contained with full proofs; survey articles give a quick and direct introduction to selected topics evolving at a fast pace Excellent reference and resource for grad students and researchers in PDEs and related fields

Advances in Phase Space Analysis of Partial Differential Equations

Antonio Bove,Daniele Del Santo,M.K. Venkatesha Murthy
Advances in Phase Space Analysis of Partial Differential Equations Book PDF

Author : Antonio Bove,Daniele Del Santo,M.K. Venkatesha Murthy
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 40,9 Mb
Release : 2009-09-18
Category : Mathematics
ISBN : 9780817648619

Get Book

Advances in Phase Space Analysis of Partial Differential Equations by Antonio Bove,Daniele Del Santo,M.K. Venkatesha Murthy Pdf

This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. The key topics include operators as "sums of squares" of real and complex vector fields, nonlinear evolution equations, local solvability, and hyperbolic questions.

Studies in Phase Space Analysis with Applications to PDEs

Massimo Cicognani,Ferruccio Colombini,Daniele Del Santo
Studies in Phase Space Analysis with Applications to PDEs Book PDF

Author : Massimo Cicognani,Ferruccio Colombini,Daniele Del Santo
Publisher : Springer Science & Business Media
Page : 391 pages
File Size : 50,5 Mb
Release : 2013-03-12
Category : Mathematics
ISBN : 9781461463481

Get Book

Studies in Phase Space Analysis with Applications to PDEs by Massimo Cicognani,Ferruccio Colombini,Daniele Del Santo Pdf

This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important. Key topics addressed in this volume include: *general theory of pseudodifferential operators *Hardy-type inequalities *linear and non-linear hyperbolic equations and systems *Schrödinger equations *water-wave equations *Euler-Poisson systems *Navier-Stokes equations *heat and parabolic equations Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource. Contributors T. Alazard P.I. Naumkin J.-M. Bony F. Nicola N. Burq T. Nishitani C. Cazacu T. Okaji J.-Y. Chemin M. Paicu E. Cordero A. Parmeggiani R. Danchin V. Petkov I. Gallagher M. Reissig T. Gramchev L. Robbiano N. Hayashi L. Rodino J. Huang M. Ruzhanky D. Lannes J.-C. Saut F. Linares N. Visciglia P.B. Mucha P. Zhang C. Mullaert E. Zuazua T. Narazaki C. Zuily

Phase Space Analysis of Partial Differential Equations

Antonio Bove,Ferruccio Colombini,Daniele Del Santo
Phase Space Analysis of Partial Differential Equations Book PDF

Author : Antonio Bove,Ferruccio Colombini,Daniele Del Santo
Publisher : Springer
Page : 329 pages
File Size : 51,7 Mb
Release : 2006-09-19
Category : Mathematics
ISBN : 081764511X

Get Book

Phase Space Analysis of Partial Differential Equations by Antonio Bove,Ferruccio Colombini,Daniele Del Santo Pdf

A collection of original articles and surveys that treats the linear and nonlinear aspects of the theory of partial differential equations. It is suitable for graduate students at various levels as well as researchers in PDEs and related fields.

Methods for Partial Differential Equations

Marcelo R. Ebert,Michael Reissig
Methods for Partial Differential Equations Book PDF

Author : Marcelo R. Ebert,Michael Reissig
Publisher : Birkhäuser
Page : 456 pages
File Size : 49,7 Mb
Release : 2018-02-23
Category : Mathematics
ISBN : 9783319664569

Get Book

Methods for Partial Differential Equations by Marcelo R. Ebert,Michael Reissig Pdf

This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. It is a valuable resource for advanced graduates and undergraduate students who are interested in specializing in this area. The book is organized in five parts: In Part 1 the authors review the basics and the mathematical prerequisites, presenting two of the most fundamental results in the theory of partial differential equations: the Cauchy-Kovalevskaja theorem and Holmgren's uniqueness theorem in its classical and abstract form. It also introduces the method of characteristics in detail and applies this method to the study of Burger's equation. Part 2 focuses on qualitative properties of solutions to basic partial differential equations, explaining the usual properties of solutions to elliptic, parabolic and hyperbolic equations for the archetypes Laplace equation, heat equation and wave equation as well as the different features of each theory. It also discusses the notion of energy of solutions, a highly effective tool for the treatment of non-stationary or evolution models and shows how to define energies for different models. Part 3 demonstrates how phase space analysis and interpolation techniques are used to prove decay estimates for solutions on and away from the conjugate line. It also examines how terms of lower order (mass or dissipation) or additional regularity of the data may influence expected results. Part 4 addresses semilinear models with power type non-linearity of source and absorbing type in order to determine critical exponents: two well-known critical exponents, the Fujita exponent and the Strauss exponent come into play. Depending on concrete models these critical exponents divide the range of admissible powers in classes which make it possible to prove quite different qualitative properties of solutions, for example, the stability of the zero solution or blow-up behavior of local (in time) solutions. The last part features selected research projects and general background material.

Phase space analysis of partial differential equations

Ferruccio Colombini,Ludovico Pernazza
Phase space analysis of partial differential equations Book PDF

Author : Ferruccio Colombini,Ludovico Pernazza
Publisher : Edizioni della Normale
Page : 0 pages
File Size : 54,8 Mb
Release : 2005-10-01
Category : Mathematics
ISBN : 8876421505

Get Book

Phase space analysis of partial differential equations by Ferruccio Colombini,Ludovico Pernazza Pdf

A Research Trimester on Phase Space Analysis of Partial Differential Equations was held at the Centro di Ricerca Matematica “Ennio De Giorgi” during the period February 15 --- May 15, 2004. In the two volumes some of the contributions have been collected. The contributions are in the following different fields: Microlocal analysis, Fluid mechanics, Hyperbolic equations, Strichartz estimates, Other related fields (Uniqueness, Schrödinger operators, Hypoellipticity).

Harmonic Analysis in Phase Space. (AM-122), Volume 122

Gerald B. Folland
Harmonic Analysis in Phase Space AM 122 Volume 122 Book PDF

Author : Gerald B. Folland
Publisher : Princeton University Press
Page : 288 pages
File Size : 45,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882427

Get Book

Harmonic Analysis in Phase Space. (AM-122), Volume 122 by Gerald B. Folland Pdf

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.

Harmonic Analysis in Phase Space

G. B. Folland
Harmonic Analysis in Phase Space Book PDF

Author : G. B. Folland
Publisher : Princeton University Press
Page : 292 pages
File Size : 51,5 Mb
Release : 1989-03-21
Category : Mathematics
ISBN : 0691085285

Get Book

Harmonic Analysis in Phase Space by G. B. Folland Pdf

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.

Time Dependent Phase Space Filters

Avy Soffer,Chris Stucchio,Minh-Binh Tran
Time Dependent Phase Space Filters Book PDF

Author : Avy Soffer,Chris Stucchio,Minh-Binh Tran
Publisher : Springer Nature
Page : 145 pages
File Size : 55,7 Mb
Release : 2023-05-04
Category : Mathematics
ISBN : 9789811968181

Get Book

Time Dependent Phase Space Filters by Avy Soffer,Chris Stucchio,Minh-Binh Tran Pdf

This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

Bert-Wolfgang Schulze,M. W. Wong
Pseudo Differential Operators Complex Analysis and Partial Differential Equations Book PDF

Author : Bert-Wolfgang Schulze,M. W. Wong
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 41,8 Mb
Release : 2010-03-01
Category : Mathematics
ISBN : 9783034601986

Get Book

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations by Bert-Wolfgang Schulze,M. W. Wong Pdf

Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.

Partial Differential Equations

M. S. Agranovich
Partial Differential Equations Book PDF

Author : M. S. Agranovich
Publisher : American Mathematical Soc.
Page : 292 pages
File Size : 40,5 Mb
Release : 2002
Category : Mathematics
ISBN : 0821833030

Get Book

Partial Differential Equations by M. S. Agranovich Pdf

Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplecticgeometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwellequations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.

Quantization Methods in the Theory of Differential Equations

Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin
Quantization Methods in the Theory of Differential Equations Book PDF

Author : Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin
Publisher : CRC Press
Page : 368 pages
File Size : 51,7 Mb
Release : 2002-05-16
Category : Mathematics
ISBN : 9781482265033

Get Book

Quantization Methods in the Theory of Differential Equations by Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin Pdf

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified w

Recent Trends in Operator Theory and Partial Differential Equations

Vladimir Maz'ya,David Natroshvili,Eugene Shargorodsky,Wolfgang L. Wendland
Recent Trends in Operator Theory and Partial Differential Equations Book PDF

Author : Vladimir Maz'ya,David Natroshvili,Eugene Shargorodsky,Wolfgang L. Wendland
Publisher : Birkhäuser
Page : 313 pages
File Size : 45,8 Mb
Release : 2017-02-23
Category : Mathematics
ISBN : 9783319470795

Get Book

Recent Trends in Operator Theory and Partial Differential Equations by Vladimir Maz'ya,David Natroshvili,Eugene Shargorodsky,Wolfgang L. Wendland Pdf

This volume is dedicated to the eminent Georgian mathematician Roland Duduchava on the occasion of his 70th birthday. It presents recent results on Toeplitz, Wiener-Hopf, and pseudodifferential operators, boundary value problems, operator theory, approximation theory, and reflects the broad spectrum of Roland Duduchava's research. The book is addressed to a wide audience of pure and applied mathematicians.

Introduction to Partial Differential Equations

Gerald B. Folland
Introduction to Partial Differential Equations Book PDF

Author : Gerald B. Folland
Publisher : Princeton University Press
Page : 340 pages
File Size : 53,5 Mb
Release : 2020-05-05
Category : Mathematics
ISBN : 9780691213033

Get Book

Introduction to Partial Differential Equations by Gerald B. Folland Pdf

The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.

Quantization Methods in the Theory of Differential Equations

Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin
Quantization Methods in the Theory of Differential Equations Book PDF

Author : Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin
Publisher : CRC Press
Page : 372 pages
File Size : 50,9 Mb
Release : 2002-05-16
Category : Mathematics
ISBN : 0415273641

Get Book

Quantization Methods in the Theory of Differential Equations by Vladimir E. Nazaikinskii,B.-W. Schulze,Boris Yu. Sternin Pdf

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations. It focuses on quantization of the corresponding objects (states, observables and canonical transformations) in the phase space. The quantization of all three types of classical objects is carried out in a unified way with the use of a special integral transform. This book covers recent as well as established results, treated within the framework of a universal approach. It also includes applications and provides a useful reference text for graduate and research-level readers.