Harmonic Analysis Method For Nonlinear Evolution Equations I PDF Download
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| 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.
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| Total Pages | : 0 |
| Release | : 2011 |
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Download Harmonic Analysis Method for Nonlinear Evolution Equations Book in PDF, ePub and Kindle
| Author | : J. Kral |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 138 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461344255 |
Download Nonlinear Evolution Equations and Potential Theory Book in PDF, ePub and Kindle
Preface.- Gottfried Anger: Direct and inverse problems in potential theory.- Viorel Barbu: Regularity results for sane differential equations associated with maximal monotone operators in Hilbert spaces.- Haim Brezis: Classes d'interpolation associées à un opérateur monotone et applications.- Siegfried Dnümmel: On inverse problems for k-dimensional potentials.- Jozef Ka?ur: Application of Rothe's method to nonlinear parabolic boundary value problems.- Josef Král: Potentials and removability of singularities.- Vladimir Lovicar: Theorem of Fréchet and asymptotically almost periodid solutions of.
| Author | : Elena Cordero |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 458 |
| Release | : 2020-09-21 |
| Genre | : Mathematics |
| ISBN | : 311053245X |
Download Time-Frequency Analysis of Operators Book in PDF, ePub and Kindle
This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an elementary approach, along with applications to almost diagonalization of such operators and to the sparsity of their Gabor representations. Moreover, Gabor frames and modulation spaces are employed to study dispersive equations such as the Schrödinger, wave, and heat equations and related Strichartz problems. The first part of the book is addressed to non-experts, presenting the basics of time-frequency analysis: short time Fourier transform, Wigner distribution and other representations, function spaces and frames theory, and it can be read independently as a short text-book on this topic from graduate and under-graduate students, or scholars in other disciplines.
| Author | : Willy Dörfler |
| Publisher | : Springer Nature |
| Total Pages | : 330 |
| Release | : 2020-10-01 |
| Genre | : Mathematics |
| ISBN | : 3030471748 |
Download Mathematics of Wave Phenomena Book in PDF, ePub and Kindle
Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.
| Author | : Reinhard Racke |
| Publisher | : Birkhäuser |
| Total Pages | : 306 |
| Release | : 2015-08-31 |
| Genre | : Mathematics |
| ISBN | : 3319218735 |
Download Lectures on Nonlinear Evolution Equations Book in PDF, ePub and Kindle
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.
| Author | : Julio Delgado |
| Publisher | : Springer |
| Total Pages | : 269 |
| Release | : 2019-01-27 |
| Genre | : Mathematics |
| ISBN | : 3030056570 |
Download Analysis and Partial Differential Equations: Perspectives from Developing Countries Book in PDF, ePub and Kindle
This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.
| Author | : Elena Prestini |
| Publisher | : Birkhäuser |
| Total Pages | : 356 |
| Release | : 2016-12-01 |
| Genre | : Mathematics |
| ISBN | : 1489979891 |
Download The Evolution of Applied Harmonic Analysis Book in PDF, ePub and Kindle
A sweeping exploration of the development and far-reaching applications of harmonic analysis such as signal processing, digital music, Fourier optics, radio astronomy, crystallography, medical imaging, spectroscopy, and more. Featuring a wealth of illustrations, examples, and material not found in other harmonic analysis books, this unique monograph skillfully blends together historical narrative with scientific exposition to create a comprehensive yet accessible work. While only an understanding of calculus is required to appreciate it, there are more technical sections that will charm even specialists in harmonic analysis. From undergraduates to professional scientists, engineers, and mathematicians, there is something for everyone here. The second edition of The Evolution of Applied Harmonic Analysis contains a new chapter on atmospheric physics and climate change, making it more relevant for today’s audience. Praise for the first edition: "...can be thoroughly recommended to any reader who is curious about the physical world and the intellectual underpinnings that have lead to our expanding understanding of our physical environment and to our halting steps to control it. Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied." — R.N. Bracewell, Stanford University “The book under review is a unique and splendid telling of the triumphs of the fast Fourier transform. I can recommend it unconditionally... Elena Prestini... has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place. Her book is much to be applauded.” — Society for Industrial and Applied Mathematics “This is not simply a book about mathematics, or even the history of mathematics; it is a story about how the discipline has been applied (to borrow Fourier’s expression) to ‘the public good and the explanation of natural phenomena.’ ... This book constitutes a significant addition to the library of popular mathematical works, and a valuable resource for students of mathematics.” — Mathematical Association of America Reviews
| Author | : Árpád Bényi |
| Publisher | : Springer Nature |
| Total Pages | : 177 |
| Release | : 2020-02-22 |
| Genre | : Mathematics |
| ISBN | : 1071603329 |
Download Modulation Spaces Book in PDF, ePub and Kindle
This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces. By gathering together state-of-the-art developments and previously unexplored applications, readers will be motivated to make effective use of this topic in future research. Because modulation spaces have historically only received a cursory treatment, this book will fill a gap in time-frequency analysis literature, and offer readers a convenient and timely resource. Foundational concepts and definitions in functional, harmonic, and real analysis are reviewed in the first chapter, which is then followed by introducing modulation spaces. The focus then expands to the many valuable applications of modulation spaces, such as linear and multilinear pseudodifferential operators, and dispersive partial differential equations. Because it is almost entirely self-contained, these insights will be accessible to a wide audience of interested readers. Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations. It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations.
| 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.
