Distributions Et Equations Aux Derivees Partielles

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Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Author : CHASKALOVIC Joël
Publisher : Lavoisier
ISBN 13 : 2743064803
Total Pages : 382 pages
Book Rating : 4.7/5 (43 download)

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Book Synopsis Méthodes mathématiques et numériques pour les équations aux dérivées partielles by : CHASKALOVIC Joël

Download or read book Méthodes mathématiques et numériques pour les équations aux dérivées partielles written by CHASKALOVIC Joël and published by Lavoisier. This book was released on 2013-01-21 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

Distributions, Partial Differential Equations, and Harmonic Analysis

Author : Dorina Mitrea
Publisher : Springer
ISBN 13 : 3030032965
Total Pages : 615 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Distributions, Partial Differential Equations, and Harmonic Analysis by : Dorina Mitrea

Download or read book Distributions, Partial Differential Equations, and Harmonic Analysis written by Dorina Mitrea and published by Springer. This book was released on 2018-12-29 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).

Distribution Theory Applied to Differential Equations

Author : Adina Chirilă
Publisher : Springer Nature
ISBN 13 : 3030671593
Total Pages : 277 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Distribution Theory Applied to Differential Equations by : Adina Chirilă

Download or read book Distribution Theory Applied to Differential Equations written by Adina Chirilă and published by Springer Nature. This book was released on 2021-02-08 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.

The Asymptotic Distribution of Eigenvalues of Partial Differential Operators

Author : Yu Safarov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821845776
Total Pages : 372 pages
Book Rating : 4.8/5 (457 download)

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Book Synopsis The Asymptotic Distribution of Eigenvalues of Partial Differential Operators by : Yu Safarov

Download or read book The Asymptotic Distribution of Eigenvalues of Partial Differential Operators written by Yu Safarov and published by American Mathematical Soc.. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work studies the eigenvalues of elliptic linear boundary value problems. Its main content is a set of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers, providing a basic introduction to mathematical concepts and tools.

The Theory of Distributions

Author : El Mustapha Ait Ben Hassi
Publisher : John Wiley & Sons
ISBN 13 : 1786309378
Total Pages : 308 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis The Theory of Distributions by : El Mustapha Ait Ben Hassi

Download or read book The Theory of Distributions written by El Mustapha Ait Ben Hassi and published by John Wiley & Sons. This book was released on 2023-10-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical, chemical, biological and even economic phenomena can be modeled by differential or partial differential equations, and the framework of distribution theory is the most efficient way to study these equations. A solid familiarity with the language of distributions has become almost indispensable in order to treat these questions efficiently. This book presents the theory of distributions in as clear a sense as possible while providing the reader with a background containing the essential and most important results on distributions. Together with a thorough grounding, it also provides a series of exercises and detailed solutions. The Theory of Distributions is intended for master’s students in mathematics and for students preparing for the agrégation certification in mathematics or those studying the physical sciences or engineering.

Distributive Lattices and Their Applications in Complex Analysis

Author : Viktor Viktorovich Zharinov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830888
Total Pages : 92 pages
Book Rating : 4.8/5 (38 download)

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Book Synopsis Distributive Lattices and Their Applications in Complex Analysis by : Viktor Viktorovich Zharinov

Download or read book Distributive Lattices and Their Applications in Complex Analysis written by Viktor Viktorovich Zharinov and published by American Mathematical Soc.. This book was released on 1985 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic methods have penetrated deeply into contemporary complex analysis, having an essential influence on both the choice of problems and on the methods for solving them. This monograph deals with the applications of distributive lattices of subspaces to problems in multidimensional complex analysis.

Les équations aux dérivées partielles

Author : Centre national de la recherche scientifique (France)
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Les équations aux dérivées partielles by : Centre national de la recherche scientifique (France)

Download or read book Les équations aux dérivées partielles written by Centre national de la recherche scientifique (France) and published by . This book was released on 1963 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Operators – Theory and Applications

Author : Jacek Banasiak
Publisher : Springer Nature
ISBN 13 : 3030460797
Total Pages : 446 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Semigroups of Operators – Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators – Theory and Applications written by Jacek Banasiak and published by Springer Nature. This book was released on 2020-06-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new ‘internal’ questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.

Les Équations linéaires aux dérivées partielles

Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Les Équations linéaires aux dérivées partielles by :

Download or read book Les Équations linéaires aux dérivées partielles written by and published by . This book was released on 1973 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distributions

Author : J.J. Duistermaat
Publisher : Springer Science & Business Media
ISBN 13 : 0817646752
Total Pages : 455 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions by : J.J. Duistermaat

Download or read book Distributions written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

The Prehistory of the Theory of Distributions

Author : J. Lützen
Publisher : Springer Science & Business Media
ISBN 13 : 1461394724
Total Pages : 241 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis The Prehistory of the Theory of Distributions by : J. Lützen

Download or read book The Prehistory of the Theory of Distributions written by J. Lützen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: I first learned the theory of distributions from Professor Ebbe Thue Poulsen in an undergraduate course at Aarhus University. Both his lectures and the textbook, Topological Vector Spaces, Distributions and Kernels by F. Treves, used in the course, opened my eyes to the beauty and abstract simplicity of the theory. However my incomplete study of many branches of classical analysis left me with the question: Why is the theory of distributions important? In my continued studies this question was gradually answered, but my growing interest in the history of mathematics caused me to alter my question to other questions such as: For what purpose, if any, was the theory of distributions originally created? Who invented distributions and when? I quickly found answers to the last two questions: distributions were invented by S. Sobolev and L. Schwartz around 1936 and 1950, respectively. Knowing this answer, however, only created a new question: Did Sobolev and Schwartz construct distributions from scratch or were there earlier trends and, if so, what were they? It is this question, concerning the pre history of the theory of distributions, which I attempt to answer in this book. Most of my research took place at the History of Science Department of Aarhus University. I wish to thank this department for its financial and intellectual support. I am especially grateful to Lektors Kirsti Andersen from the History of Science Department and Lars Mejlbo from the Mathematics Department, for their kindness, constructive criticism, and encouragement.

Tools and Problems in Partial Differential Equations

Author : Thomas Alazard
Publisher : Springer Nature
ISBN 13 : 3030502848
Total Pages : 357 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Tools and Problems in Partial Differential Equations by : Thomas Alazard

Download or read book Tools and Problems in Partial Differential Equations written by Thomas Alazard and published by Springer Nature. This book was released on 2020-10-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory. Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.

Spectral Theory of Infinite-Area Hyperbolic Surfaces

Author : David Borthwick
Publisher : Springer Science & Business Media
ISBN 13 : 0817645241
Total Pages : 355 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Spectral Theory of Infinite-Area Hyperbolic Surfaces by : David Borthwick

Download or read book Spectral Theory of Infinite-Area Hyperbolic Surfaces written by David Borthwick and published by Springer Science & Business Media. This book was released on 2007-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: By focusing on the scattering theory of hyperbolic surfaces, this work provides an introduction to the geometry of hyperbolic surfaces. Aimed at graduate students and researchers, it draws on techniques from functional analysis and differential geometry, as well as some techniques from algebra and number theory.

Non-Homogeneous Boundary Value Problems and Applications

Author : Jacques Louis Lions
Publisher : Springer Science & Business Media
ISBN 13 : 3642651615
Total Pages : 375 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Non-Homogeneous Boundary Value Problems and Applications by : Jacques Louis Lions

Download or read book Non-Homogeneous Boundary Value Problems and Applications written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.

Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002)

Author : Richard Phillips Feynman
Publisher : World Scientific
ISBN 13 : 9812560645
Total Pages : 313 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002) by : Richard Phillips Feynman

Download or read book Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002) written by Richard Phillips Feynman and published by World Scientific. This book was released on 2004 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed.The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Distribution Theory for Tests Based on the Sample Distribution Function

Author : J. Durbin
Publisher : SIAM
ISBN 13 : 9781611970586
Total Pages : 70 pages
Book Rating : 4.9/5 (75 download)

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Book Synopsis Distribution Theory for Tests Based on the Sample Distribution Function by : J. Durbin

Download or read book Distribution Theory for Tests Based on the Sample Distribution Function written by J. Durbin and published by SIAM. This book was released on 1973-01-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.

Colloque international C.N.R.S. sur les équations aux dérivées partielles linéaires

Author : Centre national de la recherche scientifique (France)
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Colloque international C.N.R.S. sur les équations aux dérivées partielles linéaires by : Centre national de la recherche scientifique (France)

Download or read book Colloque international C.N.R.S. sur les équations aux dérivées partielles linéaires written by Centre national de la recherche scientifique (France) and published by . This book was released on 1973 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: