This book is a well-written introduction to Fourier analysis, Littlewood-Paley theory and some of their applications to. .

This book is a well-written introduction to Fourier analysis, Littlewood-Paley theory and some of their applications to the theory of evolution equations. It is suitable for readers with a solid undergraduate background in analysis. This book intends to prepare the reader how to apply tools from Fourier analysis to directly solve problems arising in the theory of non linear partial differential equations. The presentation is well structured and easy to follow.

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 343). In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 343). 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.

I of Lars Hörmander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients

I of Lars Hörmander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem

Hajer Bahouri (born 30 March 1958 in Tunis), is a Franco-Tunisian mathematician, who is interested in partial differential equations.

Hajer Bahouri (born 30 March 1958 in Tunis), is a Franco-Tunisian mathematician, who is interested in partial differential equations. From 1977, she studied mathematics at the University of Tunis, graduating in 1979; she then receives the President's Award.

Fourier Analysis and Nonlinear Partial Differential Equations. Fourier analysis and nonlinear partial differential equations. Linear Analysis & Representation Theory (Grundlehren Der Mathematischen Wissenschaften Series, Vol 198). The Analysis of Linear PD Operators. IV, Fourier Integral Operators.

Grundlehren der Mathematischen Wissenschaften 34. The data are analyzed using both (1) linear Fourier analysis and (2) a relatively new kind of nonlinear Fourier analysis based upon the inverse scattering transform (IST) for the periodic Korteweg–de Vries (KdV) equation.

Grundlehren der Mathematischen Wissenschaften 343. Berlin: Heidelberg (2011; Zbl 1227. The periodic IST formalism consists of a linear superposition of the ‘‘on oscillation modes,’’ which are intrinsically nonlinear, while simultaneously undergoing nonlinear interactions with each other. Personal Name: Chemin, Jean-Yves 1959- Verfasser (DE-588)143491873. Choose file format of this book to download: pdf chm txt rtf doc. Download this format book.

Iorio, Jr Название: Fourier Analysis and Partial Differential Equations . Carlos T Название: Analysis and Topology in Nonlinear Differential Equations ISBN: 331938032X ISBN-13(EAN).

The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces.

Hajer Bahouri, Jean-Yves Chemin and Raphaël Danchin. Series: Grundlehren der mathematischen Wissenschaften 343. Price

Hajer Bahouri, Jean-Yves Chemin and Raphaël Danchin. Publication Date: 2011. Price: 12. 0. ISBN: 978-3-642-16829-1.