Distributions, Partial Differential Equations, and Harmonic Analysis

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Release : 2013-09-20
Genre : Mathematics
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Book Rating : 089/5 ( reviews)

Distributions, Partial Differential Equations, and Harmonic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Distributions, Partial Differential Equations, and Harmonic Analysis write by Dorina Mitrea. This book was released on 2013-09-20. Distributions, Partial Differential Equations, and Harmonic Analysis available 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.​

Harmonic Analysis and Partial Differential Equations

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Release : 2023-03-06
Genre : Mathematics
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Book Rating : 110/5 ( reviews)

Harmonic Analysis and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Partial Differential Equations write by Michael Ruzhansky. This book was released on 2023-03-06. Harmonic Analysis and Partial Differential Equations available 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.

Fourier Analysis and Nonlinear Partial Differential Equations

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Release : 2011-01-03
Genre : Mathematics
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Book Rating : 302/5 ( reviews)

Fourier Analysis and Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fourier Analysis and Nonlinear Partial Differential Equations write by Hajer Bahouri. This book was released on 2011-01-03. Fourier Analysis and Nonlinear Partial Differential Equations available 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.

Advances in Harmonic Analysis and Partial Differential Equations

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Release : 2020-11-07
Genre : Mathematics
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Book Rating : 159/5 ( reviews)

Advances in Harmonic Analysis and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Harmonic Analysis and Partial Differential Equations write by Vladimir Georgiev. This book was released on 2020-11-07. Advances in Harmonic Analysis and Partial Differential Equations available 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.

Harmonic Analysis and Partial Differential Equations

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Release : 1999
Genre : Mathematics
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Book Rating : 560/5 ( reviews)

Harmonic Analysis and Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Partial Differential Equations write by Alberto P. Calderón. This book was released on 1999. Harmonic Analysis and Partial Differential Equations available 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.