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| Author | : Vladimir Georgiev |
| Publisher | : Springer Nature |
| Total Pages | : 317 |
| Release | : 2020-11-07 |
| Genre | : Mathematics |
| ISBN | : 3030582159 |
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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 | : American Mathematical Society |
| Publisher | : |
| Total Pages | : 285 |
| Release | : 2012 |
| Genre | : Differential equations, Partial |
| ISBN | : 9780821894026 |
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| Author | : Dmitriy Bilyk |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 400 |
| Release | : 2012-10-16 |
| Genre | : Mathematics |
| ISBN | : 1461445647 |
Download Recent Advances in Harmonic Analysis and Applications Book in PDF, ePub and Kindle
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 | : Michael Ruzhansky |
| Publisher | : Springer Nature |
| Total Pages | : 241 |
| Release | : 2023-03-06 |
| Genre | : Mathematics |
| ISBN | : 3031243110 |
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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 | : Pietro Poggi-Corradini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 226 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821836102 |
Download The $p$-Harmonic Equation and Recent Advances in Analysis Book in PDF, ePub and Kindle
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 | : Andrea R. Nahmod |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 300 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821869213 |
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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 | : Donatella Danielli |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 200 |
| Release | : 2020-04-09 |
| Genre | : Education |
| ISBN | : 1470448963 |
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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 | : Donatella Danielli |
| Publisher | : |
| Total Pages | : 212 |
| Release | : 2020 |
| Genre | : Differential equations, Partial |
| ISBN | : 9781470455163 |
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"The back-up contains a draft title page, copyright page, toc, and preface"--
| Author | : Alberto P. Calderón |
| Publisher | : University of Chicago Press |
| Total Pages | : 388 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780226104560 |
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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 | : Estela A. Gavosto |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 186 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821840932 |
Download Harmonic Analysis, Partial Differential Equations, and Related Topics Book in PDF, ePub and Kindle
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.
