Harmonic Analysis And Wave Equations
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Author | : Coron Jean-michel |
Publisher | : World Scientific |
Total Pages | : 220 |
Release | : 2019-08-19 |
Genre | : Science |
ISBN | : 9811208387 |
Download Harmonic Analysis And Wave Equations Book in PDF, Epub and Kindle
This book is a collection of lecture notes for the LIASFMA School and Workshop on 'Harmonic Analysis and Wave Equations' which was held on May 8-18, 2017 at Fudan University, in Shanghai, China. The aim of the LIASFMA School and Workshop is to bring together Chinese and French experts to discuss and dissect recent progress in these related fields; and to disseminate state of art, new knowledge and new concepts, to graduate students and junior researchers.The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in nonlinear wave-type equations. The readers will witness the major development with the introduction of modern harmonic analysis and related techniques.
Author | : Sagun Chanillo |
Publisher | : Birkhäuser |
Total Pages | : 319 |
Release | : 2017-02-20 |
Genre | : Mathematics |
ISBN | : 3319527428 |
Download Harmonic Analysis, Partial Differential Equations and Applications Book in PDF, Epub and Kindle
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 | : Vladimir Georgiev |
Publisher | : Springer Nature |
Total Pages | : 317 |
Release | : 2020-11-07 |
Genre | : Mathematics |
ISBN | : 3030582159 |
Download Advances in Harmonic Analysis and Partial Differential Equations Book in PDF, Epub and Kindle
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 |
Publisher | : Springer Nature |
Total Pages | : 241 |
Release | : 2023-03-06 |
Genre | : Mathematics |
ISBN | : 3031243110 |
Download Harmonic Analysis and Partial Differential Equations Book in PDF, Epub and Kindle
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 | : Baoxiang Wang |
Publisher | : World Scientific |
Total Pages | : 298 |
Release | : 2011-08-10 |
Genre | : Mathematics |
ISBN | : 9814458392 |
Download Harmonic Analysis Method For Nonlinear Evolution Equations, I Book in PDF, Epub and Kindle
This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein-Gordon equations, KdV equations as well as Navier-Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students.
Author | : Gerald B. Folland |
Publisher | : Princeton University Press |
Total Pages | : 288 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882427 |
Download Harmonic Analysis in Phase Space. (AM-122), Volume 122 Book in PDF, Epub and Kindle
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.
Author | : G. B. Folland |
Publisher | : Princeton University Press |
Total Pages | : 292 |
Release | : 1989-03-21 |
Genre | : Mathematics |
ISBN | : 9780691085289 |
Download Harmonic Analysis in Phase Space Book in PDF, Epub and Kindle
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.
Author | : Christopher Donald Sogge |
Publisher | : |
Total Pages | : 224 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Download Lectures on Non-linear Wave Equations Book in PDF, Epub and Kindle
Presents an account of the basic facts concerning the linear wave equation and the methods from harmonic analysis that are necessary when studying nonlinear hyperbolic differential equations. This book examines quasilinear equations with small data where the Klainerman-Sobolev inequalities and weighted space-time estimates are introduced.
Author | : Dorina Mitrea |
Publisher | : Springer Science & Business Media |
Total Pages | : 475 |
Release | : 2013-09-20 |
Genre | : Mathematics |
ISBN | : 1461482089 |
Download Distributions, Partial Differential Equations, and Harmonic Analysis Book in PDF, Epub and Kindle
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 | : Maurice A. de Gosson |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2011-07-30 |
Genre | : Mathematics |
ISBN | : 3764399929 |
Download Symplectic Methods in Harmonic Analysis and in Mathematical Physics Book in PDF, Epub and Kindle
The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin’s global theory of pseudo-differential operators, and Feichtinger’s theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent with ongoing research. For instance, a non-standard pseudo-differential calculus on phase space where the main role is played by “Bopp operators” (also called “Landau operators” in the literature) is introduced and studied. This calculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtinger’s modulation spaces are key actors. This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists working in quantum mechanics. It can also be read with profit by researchers in time-frequency analysis, providing a valuable complement to the existing literature on the topic. A certain familiarity with Fourier analysis (in the broad sense) and introductory functional analysis (e.g. the elementary theory of distributions) is assumed. Otherwise, the book is largely self-contained and includes an extensive list of references.