Harmonic Analysis And Nonlinear Differential Equations PDF Download
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| Author | : Victor Lenard Shapiro |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 366 |
| Release | : 1997 |
| Genre | : Mathematics |
| ISBN | : 0821805657 |
Download Harmonic Analysis and Nonlinear Differential Equations Book in PDF, ePub and Kindle
There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media.
| 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 | : 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 | : Hajer Bahouri |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 530 |
| Release | : 2011-01-03 |
| Genre | : Mathematics |
| ISBN | : 3642168302 |
Download Fourier Analysis and Nonlinear Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Baoxiang Wang |
| Publisher | : World Scientific |
| Total Pages | : 298 |
| Release | : 2011 |
| Genre | : Mathematics |
| ISBN | : 9814360732 |
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 dispersive equations, such as nonlinear Schr dinger equation, nonlinear Klein Gordon equation, KdV equation as well as the Navier Stokes equations and the Boltzmann equation. The global wellposedness to the Cauchy problem for those equations are 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 | : Patricio Cifuentes |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 258 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0821847708 |
Download Harmonic Analysis and Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Mitsuru Sugimoto |
| Publisher | : |
| Total Pages | : 136 |
| Release | : 2012 |
| Genre | : Differential equations, Nonlinear |
| ISBN | : |
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| Author | : Alberto P. Calderón |
| Publisher | : University of Chicago Press |
| Total Pages | : 388 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780226104560 |
Download Harmonic Analysis and Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Tohru Ozawa |
| Publisher | : |
| Total Pages | : 160 |
| Release | : 2010 |
| Genre | : Differential equations, Nonlinear |
| ISBN | : |
Download Harmonic Analysis and Nonlinear Partial Differential Equations Book in PDF, ePub and Kindle
| 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.
