Advances In Harmonic Analysis And Partial Differential Equations

Author : Vladimir Georgiev,Tohru Ozawa,Michael Ruzhansky,Jens Wirth
Publisher : Springer Nature
Page : 317 pages
File Size : 46,9 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 : Michael Ruzhansky,Jens Wirth
Publisher : Springer Nature
Page : 241 pages
File Size : 46,9 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 : Donatella Danielli,Irina Mitrea
Publisher : American Mathematical Soc.
Page : 200 pages
File Size : 45,8 Mb
Release : 2020-04-09
Category : Education
ISBN : 9781470448967

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Advances in Harmonic Analysis and Partial Differential Equations by Donatella Danielli,Irina Mitrea Pdf

This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21–22, 2018, at Northeastern University, Boston, Massachusetts. The book features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications. The topics covered belong to the general areas of the theory of function spaces, partial differential equations of elliptic, parabolic, and dissipative types, geometric optics, free boundary problems, and ergodic theory, and the emphasis is on a host of new concepts, methods, and results.

Author : Sagun Chanillo,Bruno Franchi,Guozhen Lu,Carlos Perez,Eric T. Sawyer
Publisher : Birkhäuser
Page : 301 pages
File Size : 48,8 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 : Donatella Danielli
Publisher : Unknown
Page : 212 pages
File Size : 46,5 Mb
Release : 2020
Category : Differential equations, Partial
ISBN : 1470455161

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Advances in Harmonic Analysis and Partial Differential Equations by Donatella Danielli Pdf

"The back-up contains a draft title page, copyright page, toc, and preface"--

Author : Estela A. Gavosto
Publisher : American Mathematical Soc.
Page : 173 pages
File Size : 40,9 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 : Andrea R. Nahmod
Publisher : American Mathematical Soc.
Page : 285 pages
File Size : 52,5 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821869215

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Recent Advances in Harmonic Analysis and Partial Differential Equations by Andrea R. Nahmod Pdf

This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.

Author : Pietro Poggi-Corradini,Prairie Analysis Seminar
Publisher : American Mathematical Soc.
Page : 226 pages
File Size : 45,6 Mb
Release : 2005
Category : Harmonic analysis
ISBN : 9780821836101

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The $p$-Harmonic Equation and Recent Advances in Analysis by Pietro Poggi-Corradini,Prairie Analysis Seminar Pdf

Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.

Author : Jose Garcia-Cuerva
Publisher : Unknown
Page : 226 pages
File Size : 54,7 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 : 55,8 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 : Björn E. J. Dahlberg,Carlos E. Kenig
Publisher : Unknown
Page : 242 pages
File Size : 44,8 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 : Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 52,5 Mb
Release : 2012-10-16
Category : Mathematics
ISBN : 9781461445654

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Recent Advances in Harmonic Analysis and Applications by Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick Pdf

Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday. The contributions are based on two special sessions, namely "Harmonic Analysis and Applications" and "Sparse Data Representations and Applications." Topics covered range from Banach space geometry to classical harmonic analysis and partial differential equations. Survey and expository articles by leading experts in their corresponding fields are included, and the volume also features selected high quality papers exploring new results and trends in Muckenhoupt-Sawyer theory, orthogonal polynomials, trigonometric series, approximation theory, Bellman functions and applications in differential equations. Graduate students and researchers in analysis will be particularly interested in the articles which emphasize remarkable connections between analysis and analytic number theory. The readers will learn about recent mathematical developments and directions for future work in the unexpected and surprising interaction between abstract problems in additive number theory and experimentally discovered optical phenomena in physics. This book will be useful for number theorists, harmonic analysts, algorithmists in multi-dimensional signal processing and experts in physics and partial differential equations.

Author : Hans G. Feichtinger,Thomas Strohmer
Publisher : Springer Science & Business Media
Page : 356 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201335

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Advances in Gabor Analysis by Hans G. Feichtinger,Thomas Strohmer Pdf

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scientific communities with significant developments in harmonic analysis, ranging from abstract har monic analysis to basic applications. The title of the series reflects the im portance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the interleaving of theory and applications and their creative symbi otic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has flour ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilization with diverse areas. The intricate and fundamental relationship between harmonic analysis and fields such as sig nal processing, partial differential equations (PDEs), and image processing is reflected in our state of the art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.

Author : Giovanna Citti,Loukas Grafakos,Carlos Pérez,Alessandro Sarti,Xiao Zhong
Publisher : Birkhäuser
Page : 170 pages
File Size : 40,6 Mb
Release : 2015-04-28
Category : Mathematics
ISBN : 9783034804080

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Harmonic and Geometric Analysis by Giovanna Citti,Loukas Grafakos,Carlos Pérez,Alessandro Sarti,Xiao Zhong Pdf

This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.

Author : Kari Astala,Tadeusz Iwaniec,Gaven Martin
Publisher : Princeton University Press
Page : 695 pages
File Size : 48,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780691137773

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) by Kari Astala,Tadeusz Iwaniec,Gaven Martin Pdf

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.