Harmonic Analysis And Partial Differential Equations

Author : Michael Ruzhansky,Jens Wirth
Publisher : Springer Nature
Page : 241 pages
File Size : 41,8 Mb
Release : 2023-03-06
Category : Mathematics
ISBN : 9783031243110

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Harmonic Analysis and Partial Differential Equations by Michael Ruzhansky,Jens Wirth Pdf

This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Author : Vladimir Georgiev,Tohru Ozawa,Michael Ruzhansky,Jens Wirth
Publisher : Springer Nature
Page : 317 pages
File Size : 49,7 Mb
Release : 2020-11-07
Category : Mathematics
ISBN : 9783030582159

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Advances in Harmonic Analysis and Partial Differential Equations by Vladimir Georgiev,Tohru Ozawa,Michael Ruzhansky,Jens Wirth Pdf

This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Author : Sagun Chanillo,Bruno Franchi,Guozhen Lu,Carlos Perez,Eric T. Sawyer
Publisher : Birkhäuser
Page : 301 pages
File Size : 44,6 Mb
Release : 2017-02-20
Category : Mathematics
ISBN : 9783319527420

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Harmonic Analysis, Partial Differential Equations and Applications by Sagun Chanillo,Bruno Franchi,Guozhen Lu,Carlos Perez,Eric T. Sawyer Pdf

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L. Wheeden made profound contributions. The papers deal with Weighted Norm inequalities for classical operators like Singular integrals, fractional integrals and maximal functions that arise in Harmonic Analysis. Other papers deal with applications of Harmonic Analysis to Degenerate Elliptic equations, variational problems, Several Complex variables, Potential theory, free boundaries and boundary behavior of functions.

Author : Alberto P. Calderón
Publisher : University of Chicago Press
Page : 388 pages
File Size : 48,7 Mb
Release : 1999
Category : Mathematics
ISBN : 0226104567

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Harmonic Analysis and Partial Differential Equations by Alberto P. Calderón Pdf

Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day. In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.

Author : Jose Garcia-Cuerva
Publisher : Unknown
Page : 226 pages
File Size : 50,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 366218561X

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Harmonic Analysis and Partial Differential Equations by Jose Garcia-Cuerva Pdf

Author : Anatoly Golberg,Peter Kuchment,David Shoikhet
Publisher : Springer Nature
Page : 319 pages
File Size : 46,8 Mb
Release : 2023-04-26
Category : Mathematics
ISBN : 9783031254246

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Harmonic Analysis and Partial Differential Equations by Anatoly Golberg,Peter Kuchment,David Shoikhet Pdf

Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Author : Dorina Mitrea
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 40,5 Mb
Release : 2013-09-20
Category : Mathematics
ISBN : 9781461482086

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Distributions, Partial Differential Equations, and Harmonic Analysis by Dorina Mitrea Pdf

​The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.​

Author : Björn E. J. Dahlberg,Carlos E. Kenig
Publisher : Unknown
Page : 242 pages
File Size : 52,9 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:185735587

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Harmonic Analysis and Partial Differential Equations by Björn E. J. Dahlberg,Carlos E. Kenig Pdf

Author : Patricio Cifuentes
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 50,5 Mb
Release : 2010-01-14
Category : Mathematics
ISBN : 9780821847701

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Harmonic Analysis and Partial Differential Equations by Patricio Cifuentes Pdf

This volume contains the Proceedings of the 8th International Conference on Harmonic Analysis and Partial Differential Equations, held in El Escorial, Madrid, Spain, on June 16-20, 2008. Featured in this book are papers by Steve Hoffmann and Carlos Kenig, which are based on two mini-courses given at the conference. These papers present topics of current interest, which assume minimal background from the reader, and represent state-of-the-art research in a useful way for young researchers. Other papers in this volume cover a range of fields in Harmonic Analysis and Partial Differential Equations and, in particular, illustrate well the fruitful interplay between these two fields.

Author : Estela A. Gavosto
Publisher : American Mathematical Soc.
Page : 173 pages
File Size : 41,6 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821840931

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Harmonic Analysis, Partial Differential Equations and Related Topics by Estela A. Gavosto Pdf

This collection of contributed articles comprises the scientific program of the fifth annual Prairie Analysis Seminar. All articles represent important current advances in the areas of partial differential equations, harmonic analysis, and Fourier analysis. A range of interrelated topics is presented, with articles concerning Painleve removability, pseudodifferential operators, $A p$ weights, nonlinear Schrodinger equations, singular integrals, the wave equation, the Benjamin-Ono equation, quasi-geostrophic equations, quasiconformal mappings, integral inclusions, Bellman function methods, weighted gradient estimates, Hankel operators, and dynamic optimization problems. Most importantly, the articles illustrate the fruitful interaction between harmonic analysis, Fourier analysis, and partial differential equations, and illustrate the successful application of techniques and ideas from each of these areas to the others.

Author : Jose Garcia-Cuerva
Publisher : Springer
Page : 220 pages
File Size : 52,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540481348

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Harmonic Analysis and Partial Differential Equations by Jose Garcia-Cuerva Pdf

The programme of the Conference at El Escorial included 4 main courses of 3-4 hours. Their content is reflected in the four survey papers in this volume (see above). Also included are the ten 45-minute lectures of a more specialized nature.

Author : Hajer Bahouri,Jean-Yves Chemin,Raphaël Danchin
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 43,9 Mb
Release : 2011-01-03
Category : Mathematics
ISBN : 9783642168307

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Fourier Analysis and Nonlinear Partial Differential Equations by Hajer Bahouri,Jean-Yves Chemin,Raphaël Danchin Pdf

In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

Author : Dorina Mitrea
Publisher : Springer
Page : 600 pages
File Size : 41,7 Mb
Release : 2018-12-29
Category : Mathematics
ISBN : 9783030032968

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Distributions, Partial Differential Equations, and Harmonic Analysis by Dorina Mitrea Pdf

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).

Author : Mario Milman,Tomas Schonbek
Publisher : American Mathematical Soc.
Page : 148 pages
File Size : 40,5 Mb
Release : 1990-07-19
Category : Mathematics
ISBN : 0821854402

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Harmonic Analysis and Partial Differential Equations by Mario Milman,Tomas Schonbek Pdf

This book brings together ten papers presented at the Conference on Harmonic Analysis and Partial Differential Equations, held in April 1988 at Florida Atlantic University. The papers illuminate the relationship between harmonic analysis and partial differential equations and present results of some of the foremost experts in these areas. Among the topics covered are: application of fully nonlinear, uniformly elliptic equations to the Monge Ampere equation; estimates for Green functions for the purpose of studying Dirichlet problems for operators in non-divergence form; an extension of classical potential theory to the case of nonsmooth domains; the relation between Riesz potentials and maximal fractional operators due to Muckenhoupt and Wheeden; and the Lax-Phillips scattering theory applied to the double Hilbert transform. Directed at research mathematicians and graduate students, the papers require knowledge of the classical tools of analysis, such as measure theory, Sobolev spaces, and potential theory.

Author : Anonim
Publisher : American Mathematical Soc.
Page : 129 pages
File Size : 45,6 Mb
Release : 1990
Category : Electronic
ISBN : 0821851136

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Proceedings of a conference on harmonic analysis and partial differential equations by Anonim Pdf