Partial Differential Equations Vi

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Lectures on Partial Differential Equations

Vladimir I. Arnold
Lectures on Partial Differential Equations Book PDF

Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 48,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662054413

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Lectures on Partial Differential Equations by Vladimir I. Arnold Pdf

Choice Outstanding Title! (January 2006) This richly illustrated text covers the Cauchy and Neumann problems for the classical linear equations of mathematical physics. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.

Partial Differential Equations

Walter A. Strauss
Partial Differential Equations Book PDF

Author : Walter A. Strauss
Publisher : John Wiley & Sons
Page : 467 pages
File Size : 43,8 Mb
Release : 2007-12-21
Category : Mathematics
ISBN : 9780470054567

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Partial Differential Equations by Walter A. Strauss Pdf

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Haim Brezis
Functional Analysis Sobolev Spaces and Partial Differential Equations Book PDF

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 47,5 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Lectures on Partial Differential Equations

I. G. Petrovsky
Lectures on Partial Differential Equations Book PDF

Author : I. G. Petrovsky
Publisher : Courier Corporation
Page : 261 pages
File Size : 50,5 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9780486155081

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Lectures on Partial Differential Equations by I. G. Petrovsky Pdf

Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.

From Particle Systems to Partial Differential Equations

Cédric Bernardin,François Golse,Patrícia Gonçalves,Valeria Ricci,Ana Jacinta Soares
From Particle Systems to Partial Differential Equations Book PDF

Author : Cédric Bernardin,François Golse,Patrícia Gonçalves,Valeria Ricci,Ana Jacinta Soares
Publisher : Springer
Page : 400 pages
File Size : 50,5 Mb
Release : 2022-06-01
Category : Mathematics
ISBN : 303069786X

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From Particle Systems to Partial Differential Equations by Cédric Bernardin,François Golse,Patrícia Gonçalves,Valeria Ricci,Ana Jacinta Soares Pdf

This book includes the joint proceedings of the International Conference on Particle Systems and PDEs VI, VII and VIII. Particle Systems and PDEs VI was held in Nice, France, in November/December 2017, Particle Systems and PDEs VII was held in Palermo, Italy, in November 2018, and Particle Systems and PDEs VIII was held in Lisbon, Portugal, in December 2019. Most of the papers are dealing with mathematical problems motivated by different applications in physics, engineering, economics, chemistry and biology. They illustrate methods and topics in the study of particle systems and PDEs and their relation. The book is recommended to probabilists, analysts and to those mathematicians in general, whose work focuses on topics in mathematical physics, stochastic processes and differential equations, as well as to those physicists who work in statistical mechanics and kinetic theory.

Partial Differential Equations and Boundary-Value Problems with Applications

Mark A. Pinsky
Partial Differential Equations and Boundary Value Problems with Applications Book PDF

Author : Mark A. Pinsky
Publisher : American Mathematical Soc.
Page : 545 pages
File Size : 43,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821868898

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Partial Differential Equations and Boundary-Value Problems with Applications by Mark A. Pinsky Pdf

Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, considered in various standard coordinate systems--rectangular, cylindrical, and spherical. Each of the equations is derived in the three-dimensional context; the solutions are organized according to the geometry of the coordinate system, which makes the mathematics especially transparent. Bessel and Legendre functions are studied and used whenever appropriate throughout the text. The notions of steady-state solution of closely related stationary solutions are developed for the heat equation; applications to the study of heat flow in the earth are presented. The problem of the vibrating string is studied in detail both in the Fourier transform setting and from the viewpoint of the explicit representation (d'Alembert formula). Additional chapters include the numerical analysis of solutions and the method of Green's functions for solutions of partial differential equations. The exposition also includes asymptotic methods (Laplace transform and stationary phase). With more than 200 working examples and 700 exercises (more than 450 with answers), the book is suitable for an undergraduate course in partial differential equations.

Handbook of Nonlinear Partial Differential Equations

Andrei D. Polyanin,Valentin F. Zaitsev
Handbook of Nonlinear Partial Differential Equations Book PDF

Author : Andrei D. Polyanin,Valentin F. Zaitsev
Publisher : CRC Press
Page : 835 pages
File Size : 54,6 Mb
Release : 2004-06-02
Category : Mathematics
ISBN : 9781135440817

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Handbook of Nonlinear Partial Differential Equations by Andrei D. Polyanin,Valentin F. Zaitsev Pdf

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more than 1600 nonlinear equations encountered in science and engineering--many more than any other book available. The equations include those of parabolic, hyperbolic, elliptic and other types, and the authors pay special attention to equations of general form that involve arbitrary functions. A supplement at the end of the book discusses the classical and new methods for constructing exact solutions to nonlinear equations. To accommodate different mathematical backgrounds, the authors avoid wherever possible the use of special terminology, outline some of the methods in a schematic, simplified manner, and arrange the equations in increasing order of complexity. Highlights of the Handbook:

An Introduction to Partial Differential Equations

Michael Renardy,Robert C. Rogers
An Introduction to Partial Differential Equations Book PDF

Author : Michael Renardy,Robert C. Rogers
Publisher : Springer Science & Business Media
Page : 447 pages
File Size : 40,6 Mb
Release : 2006-04-18
Category : Mathematics
ISBN : 9780387216874

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An Introduction to Partial Differential Equations by Michael Renardy,Robert C. Rogers Pdf

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Partial Differential Equations VI

Yu.V. Egorov,M.A. Shubin
Partial Differential Equations VI Book PDF

Author : Yu.V. Egorov,M.A. Shubin
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 51,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662092095

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Partial Differential Equations VI by Yu.V. Egorov,M.A. Shubin Pdf

Authored by well-known researchers, this book presents its material as accessible surveys, giving readers access to comprehensive coverage of results scattered throughout the literature. A unique source of information for graduate students and researchers in mathematics and theoretical physics, and engineers interested in the subject.

Partial Differential Equations

F. John
Partial Differential Equations Book PDF

Author : F. John
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 44,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461599791

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Partial Differential Equations by F. John Pdf

These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. Added to this second corrected edition is a collection of problems and solutions, which illustrate and supplement the theories developed in the text. Fritz John New York September, 1974 vii TABLE OF CONTENTS Introd uction 1 CHAPrER I - THE SINGLE FIRST ORDER EQUATION 1. The linear and quasi-linear equations. 6 2. The general first order equation for a function of two variables. • • • • • • • • • 15 The general first order equation for a function 3. of n independent variables. • • • • • 37 CHAPrER II - THE CAUCHY PROBLEM FOR HIGHER ORDER EQUATIONS 1. Analytic functions of several real variables • 48 2. Formulation of the Cauchy problem. The notion of characteristics. • • • 54 3. The Cauchy problem for the general non-linear equation ••• 71 4. The Cauchy-Kowalewsky theorem. 76 CHAPTER III - SECOND ORDER EQUATIONS WITH CONSTANT COEFFICIENTS 1. Equations in two independent variables.

A Concise Course on Stochastic Partial Differential Equations

Claudia Prévôt,Michael Röckner
A Concise Course on Stochastic Partial Differential Equations Book PDF

Author : Claudia Prévôt,Michael Röckner
Publisher : Springer
Page : 149 pages
File Size : 54,8 Mb
Release : 2007-05-26
Category : Mathematics
ISBN : 9783540707813

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A Concise Course on Stochastic Partial Differential Equations by Claudia Prévôt,Michael Röckner Pdf

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach" and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach". A large part of necessary background material is included in appendices.

Partial Differential Equations in Physics

Anonim
Partial Differential Equations in Physics Book PDF

Author : Anonim
Publisher : Academic Press
Page : 349 pages
File Size : 43,5 Mb
Release : 1949-01-01
Category : Mathematics
ISBN : 9780080873091

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Partial Differential Equations in Physics by Anonim Pdf

The topic with which I regularly conclude my six-term series of lectures in Munich is the partial differential equations of physics. We do not really deal with mathematical physics, but with physical mathematics; not with the mathematical formulation of physical facts, but with the physical motivation of mathematical methods. The oftmentioned “prestabilized harmony between what is mathematically interesting and what is physically important is met at each step and lends an esthetic - I should like to say metaphysical -- attraction to our subject. The problems to be treated belong mainly to the classical matherhatical literature, as shown by their connection with the names of Laplace, Fourier, Green, Gauss, Riemann, and William Thomson. In order to show that these methods are adequate to deal with actual problems, we treat the propagation of radio waves in some detail in Chapter VI.

Geometrical Methods in the Theory of Ordinary Differential Equations

V.I. Arnold
Geometrical Methods in the Theory of Ordinary Differential Equations Book PDF

Author : V.I. Arnold
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210375

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Geometrical Methods in the Theory of Ordinary Differential Equations by V.I. Arnold Pdf

Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.

Ordinary and Partial Differential Equations for the Beginner

László Székelyhidi
Ordinary and Partial Differential Equations for the Beginner Book PDF

Author : László Székelyhidi
Publisher : World Scientific Publishing Company
Page : 256 pages
File Size : 48,9 Mb
Release : 2016-05-24
Category : Mathematics
ISBN : 9789814725019

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Ordinary and Partial Differential Equations for the Beginner by László Székelyhidi Pdf

This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary differential equations to advanced methods for first order partial differential equations. In addition to the theoretical background, solution methods are strongly emphasized. Each section is completed with problems and exercises, and the solutions are also provided. There are special sections devoted to more applied tools such as implicit equations, Laplace transform, Fourier method, etc. As a novelty, a method for finding exponential polynomial solutions is presented which is based on the author's work in spectral synthesis. The presentation is self-contained, provided the reader has general undergraduate knowledge.

Partial Differential Equations

R. M. M. Mattheij,S. W. Rienstra,J. H. M. ten Thije Boonkkamp
Partial Differential Equations Book PDF

Author : R. M. M. Mattheij,S. W. Rienstra,J. H. M. ten Thije Boonkkamp
Publisher : SIAM
Page : 689 pages
File Size : 52,9 Mb
Release : 2005-01-01
Category : Mathematics
ISBN : 9780898715941

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Partial Differential Equations by R. M. M. Mattheij,S. W. Rienstra,J. H. M. ten Thije Boonkkamp Pdf

Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.