Équations aux dérivées partielles elliptiques non linéaires

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Publisher : Springer Science & Business Media
ISBN 13 : 3642361757
Total Pages : 230 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Équations aux dérivées partielles elliptiques non linéaires by : Herve Le Dret

Download or read book Équations aux dérivées partielles elliptiques non linéaires written by Herve Le Dret and published by Springer Science & Business Media. This book was released on 2013-04-19 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage est issu d’un cours de Master 2 enseigné à l’UPMC entre 2004 et 2007. Nous y présentons une sélection de techniques mathématiques orientées vers la résolution des équations aux dérivées partielles elliptiques semi-linéaires et quasi-linéaires. Après un vade-mecum d'analyse réelle et d'analyse fonctionnelle de base pour les EDP, sans démonstrations pour les points les plus connus, nous parcourons ainsi les théorèmes de point fixe classiques, les opérateurs de superposition dans les espaces de Lebesgue et de Sobolev, la méthode de Galerkin, les principes du maximum et la régularité elliptique, nous faisons une excursion assez longue dans divers aspects du calcul des variations puis terminons par les opérateurs monotones et pseudo-monotones. Tout ceci est agrémenté d’exemples et chaque chapitre est complété d'un nombre d’exercices qui croît essentiellement avec le numéro du chapitre, au fur et à mesure que de nouveaux matériaux sont présentés. This book stems from lectures notes of a Master 2 class held at UPMC between 2004 and 2007. A selection of mathematical techniques geared towards the resolution of semilinear and quasilinear elliptic partial differential equations is presented. After a short survival guide in basic real and functional analysis for PDEs, without proofs for the most well-known results, we walk through the classical fixed point theorems, the superposition operators in Lebesgue and Sobolev spaces, the Galerkin method, the maximum principles and elliptic regularity, we make a rather long foray into various aspects of the calculus of variations, and conclude with monotone and pseudo-monotone operators, by way of numerous examples. Each chapter is complemented by a number of exercises that grows with the chapter number as more and more material is made available.

Partial Differential Equations of Elliptic Type

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Publisher : Springer Science & Business Media
ISBN 13 : 3642877737
Total Pages : 384 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Partial Differential Equations of Elliptic Type by : C. Miranda

Download or read book Partial Differential Equations of Elliptic Type written by C. Miranda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of partial differential equations, the study of elliptic equations occupies a preeminent position, both because of the importance which it assumes for various questions in mathematical physics, and because of the completeness of the results obtained up to the present time. In spite of this, even in the more classical treatises on analysis the theory of elliptic equations has been considered and illustrated only from particular points of view, while the only expositions of the whole theory, the extremely valuable ones by LICHTENSTEIN and AscoLI, have the charac ter of encyclopedia articles and date back to many years ago. Consequently it seemed to me that it would be of some interest to try to give an up-to-date picture of the present state of research in this area in a monograph which, without attaining the dimensions of a treatise, would nevertheless be sufficiently extensive to allow the expo sition, in some cases in summary form, of the various techniques used in the study of these equations.

Nonlinear Elliptic Partial Differential Equations

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Publisher : Springer
ISBN 13 : 3319783904
Total Pages : 259 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Nonlinear Elliptic Partial Differential Equations by : Hervé Le Dret

Download or read book Nonlinear Elliptic Partial Differential Equations written by Hervé Le Dret and published by Springer. This book was released on 2018-05-25 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.

Bifurcation and Nonlinear Eigenvalue Problems

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Publisher : Springer
ISBN 13 : 3540386378
Total Pages : 307 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : C. Bardos

Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by C. Bardos and published by Springer. This book was released on 2006-11-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:

French Mathematical Seminars

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821801291
Total Pages : 198 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis French Mathematical Seminars by : Nancy D. Anderson

Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.

Energy Methods for Free Boundary Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200911
Total Pages : 338 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Energy Methods for Free Boundary Problems by : S.N. Antontsev

Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Stable Solutions of Elliptic Partial Differential Equations

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Publisher : CRC Press
ISBN 13 : 1420066552
Total Pages : 334 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Stable Solutions of Elliptic Partial Differential Equations by : Louis Dupaigne

Download or read book Stable Solutions of Elliptic Partial Differential Equations written by Louis Dupaigne and published by CRC Press. This book was released on 2011-03-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.

Partial Differential Equations and Functional Analysis

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Publisher : Springer Nature
ISBN 13 : 303133681X
Total Pages : 334 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Partial Differential Equations and Functional Analysis by : Andrew Comech

Download or read book Partial Differential Equations and Functional Analysis written by Andrew Comech and published by Springer Nature. This book was released on 2023-11-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory. The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at the Department of Mechanics and Mathematics at Moscow State University. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik’s, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and many others. The book also provides a detailed description of the main research directions of Mark Vishik written by his students and colleagues, as well as several reviews of the recent development in these directions.

Non-Homogeneous Boundary Value Problems and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642652174
Total Pages : 255 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 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: I. In this second volume, we continue at first the study of non homogeneous boundary value problems for particular classes of evolu tion equations. 1 In Chapter 4 , we study parabolic operators by the method of Agranovitch-Vishik [lJ; this is step (i) (Introduction to Volume I, Section 4), i.e. the study of regularity. The next steps: (ii) transposition, (iii) interpolation, are similar in principle to those of Chapter 2, but involve rather considerable additional technical difficulties. In Chapter 5, we study hyperbolic operators or operators well defined in thesense of Petrowski or Schroedinger. Our regularity results (step (i)) seem to be new. Steps (ii) and (iii) are all3.logous to those of the parabolic case, except for certain technical differences. In Chapter 6, the results of Chapter'> 4 and 5 are applied to the study of optimal control problems for systems governed by evolution equations, when the control appears in the boundary conditions (so that non-homogeneous boundary value problems are the basic tool of this theory). Another type of application, to the characterization of "all" well-posed problems for the operators in question, is given in the Ap pendix. Still other applications, for example to numerical analysis, will be given in Volume 3.

Revue Semestrielle Des Publications Mathématiques

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Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1927 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Aspects of Analysis and Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682449
Total Pages : 401 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Aspects of Analysis and Mechanics by : Erik P. van den Ban

Download or read book Geometric Aspects of Analysis and Mechanics written by Erik P. van den Ban and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.

Hyperbolic Problems and Regularity Questions

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Publisher : Springer Science & Business Media
ISBN 13 : 3764374519
Total Pages : 229 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Hyperbolic Problems and Regularity Questions by : Mariarosaria Padula

Download or read book Hyperbolic Problems and Regularity Questions written by Mariarosaria Padula and published by Springer Science & Business Media. This book was released on 2007-01-21 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses new challenges in the quickly developing field of hyperbolic problems. Particular emphasis lies on the interaction between nonlinear partial differential equations, functional analysis and applied analysis as well as mechanics. The book originates from a recent conference focusing on hyperbolic problems and regularity questions. It is intended for researchers in functional analysis, PDE, fluid dynamics and differential geometry.

Revue Semestrielle Des Publications Mathematiques

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Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1893 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinite-Dimensional Dynamical Systems in Mechanics and Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206456
Total Pages : 670 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Infinite-Dimensional Dynamical Systems in Mechanics and Physics by : Roger Temam

Download or read book Infinite-Dimensional Dynamical Systems in Mechanics and Physics written by Roger Temam and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

Geometric Analysis of PDE and Several Complex Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 0821833863
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Geometric Analysis of PDE and Several Complex Variables by : Francois Treves

Download or read book Geometric Analysis of PDE and Several Complex Variables written by Francois Treves and published by American Mathematical Soc.. This book was released on 2005 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Francois Treves, who made substantial contributions to the geometric side of the theory of partial differential equations (PDEs) and several complex variables. One of his best-known contributions, reflected in many of the articles here, is the study of hypo-analytic structures. An international group of well-known mathematicians contributed to the volume. Articles generally reflect the interaction of geometry and analysis that is typical of Treves's work, such as the study of the special types of partial differential equations that arise in conjunction with CR-manifolds, symplectic geometry, or special families of vector fields. There are many topics in analysis and PDEs covered here, unified by their connections to geometry. The material is suitable for graduate students and research mathematicians interested in geometric analysis of PDEs and several complex variables.

Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie

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Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie by : Societatea de Științe Matematice din Republica Socialistă România

Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie written by Societatea de Științe Matematice din Republica Socialistă România and published by . This book was released on 1973 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Catalogue of Scientific Literature [1901-14].

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Publisher :
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis International Catalogue of Scientific Literature [1901-14]. by :

Download or read book International Catalogue of Scientific Literature [1901-14]. written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: