Microlocal Analysis And Nonlinear Waves

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Microlocal Analysis And Nonlinear Waves

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Author : Michael Beals
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Microlocal Analysis And Nonlinear Waves written by Michael Beals 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 2012-12-06 with Mathematics categories.

This IMA Volume in Mathematics and its Applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 IMA program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t

Microlocal Methods In Mathematical Physics And Global Analysis

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Author : Daniel Grieser
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-13

Microlocal Methods In Mathematical Physics And Global Analysis written by Daniel Grieser 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 2012-12-13 with Mathematics categories.

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.​

Microlocal Analysis

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Author : M. Salah Baouendi
language : en
Publisher:
Release Date : 1984

Microlocal Analysis written by M. Salah Baouendi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

This volume is the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Microlocal Analysis and its Applications to Partial Differential Equations, held July 10-16, 1983 in Boulder, Colorado. It contains refereed articles which were delivered at the conference. Two of the papers are survey articles, one on uniqueness and non-uniqueness in the Cauchy problem and one on hypoanalytic structures; the rest are either detailed announcements or complete papers covering such areas as spectrum of operators, nonlinear problems, asymptotics, pseudodifferential operators of multiple characteristics and operators on groups and homogeneous spaces. The volume should be useful to active mathematicians and graduate students working on linear and nonlinear partial differential equations and related areas.

Advances In Microlocal Analysis

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Author : H.G. Garnir
language : en
Publisher: Springer Science & Business Media
Release Date : 1986-02-28

Advances In Microlocal Analysis written by H.G. Garnir 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 1986-02-28 with Mathematics categories.

The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri butions which led recently to the birth of a new branch of Mathema tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.

Advances In Microlocal And Time Frequency Analysis

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Author : Paolo Boggiatto
language : en
Publisher: Springer Nature
Release Date : 2020-03-03

Advances In Microlocal And Time Frequency Analysis written by Paolo Boggiatto and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-03 with Mathematics categories.

The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th birthday. The conference’s focus and the contents of the papers reflect Luigi’s various research interests in the course of his long and extremely prolific career at Torino University.

Propagation And Interaction Of Singularities In Nonlinear Hyperbolic Problems

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Author : Michael Beals
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Propagation And Interaction Of Singularities In Nonlinear Hyperbolic Problems written by Michael Beals 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 2012-12-06 with Mathematics categories.

This book developed from a series of lectures I gave at the Symposium on Nonlinear Microlocal Analysis held at Nanjing University in October. 1988. Its purpose is to give an overview of the use of microlocal analysis and commutators in the study of solutions to nonlinear wave equations. The weak singularities in the solutions to such equations behave up to a certain extent like those present in the linear case: they propagate along the null bicharacteristics of the operator. On the other hand. examples exhibiting singularities not present in the linear case can also be constructed. I have tried to present a crossection of both the regularity results and the singular examples. for problems on the interior of a domain and on domains with boundary. The main emphasis is on the case of more than one space dimen sion. since that case is treated in great detail in the paper of Rauch-Reed 159]. The results presented here have for the most part appeared elsewhere. and are the work of many authors. but a few new examples and proofs are given. I have attempted to indicate the essential ideas behind the arguments. so that only some of the results are proved in full detail. It is hoped that the central notions of the more technical proofs appearing in research papers will be illuminated by these simpler cases.

Nonlinear Analysis And Microlocal Analysis Proceedings Of The International Conference At The Nankai Institute Of Mathematics

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Author : Chang Kung-ching
language : en
Publisher: World Scientific
Release Date : 1992-10-09

Nonlinear Analysis And Microlocal Analysis Proceedings Of The International Conference At The Nankai Institute Of Mathematics written by Chang Kung-ching and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-09 with categories.

These proceedings contain recent developments on the following important topics: variational problems, fully nonlinear elliptic equations, PDE from differential geometry, hamiltonian systems, nonlinear evolution equations and nonlinear microlocal analysis. Included are many interesting survey papers with the latest research materials.

Global Analysis Of Linear And Nonlinear Wave Equations On Cosmological Spacetimes

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Author : Peter Hintz
language : en
Publisher:
Release Date : 2015

Global Analysis Of Linear And Nonlinear Wave Equations On Cosmological Spacetimes written by Peter Hintz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

We develop a general framework for the global analysis of linear and nonlinear wave equations on geometric classes of Lorentzian manifolds, based on microlocal analysis on compactified spaces. The main examples of manifolds that fit into this framework are cosmological spacetimes such as de Sitter and Kerr-de Sitter spaces, as well as Minkowski space, and perturbations of these spacetimes. In particular, we establish the global solvability of quasilinear wave equations on cosmological black hole spacetimes and obtain the asymptotic behavior of solutions using a novel approach to the global study of nonlinear hyperbolic equations. The framework directly applies to nonscalar problems as well, and we present linear and nonlinear results both for scalar equations and for equations on natural vector bundles. To a large extent, our work was motivated by the black hole stability problem for cosmological spacetimes, and we expect the resolution of this problem to be within reach with the methods presented here.

Nonlinear Waves In Integrable And Nonintegrable Systems

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Author : Jianke Yang
language : en
Publisher: SIAM
Release Date : 2010-01-01

Nonlinear Waves In Integrable And Nonintegrable Systems written by Jianke Yang and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Science categories.

Presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind.

Lectures On The Analysis Of Nonlinear Partial Differential Equations

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Author : Fanghua Lin
language : en
Publisher:
Release Date : 2012

Lectures On The Analysis Of Nonlinear Partial Differential Equations written by Fanghua Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Differential equations, Nonlinear categories.