Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

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Publisher : Springer Science & Business Media
ISBN 13 : 9401590761
Total Pages : 247 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs by : Elemer E. Rosinger

Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs written by Elemer E. Rosinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions. The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings. Thus, they cannot be subsemigroups of Lie groups. Audience: This volume is addressed to graduate students and researchers involved in solving linear and nonlinear partial differential equations, and in particular, in dealing with the Lie group symmetries of their classical or generalised solutions.

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes

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Publisher :
ISBN 13 : 9789401590778
Total Pages : 260 pages
Book Rating : 4.5/5 (97 download)

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Book Synopsis Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes by : Elemer Elad Rosinger

Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear Pdes written by Elemer Elad Rosinger and published by . This book was released on 2014-01-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

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Publisher : Springer
ISBN 13 : 9789048150939
Total Pages : 0 pages
Book Rating : 4.1/5 (59 download)

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Book Synopsis Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs by : Elemer Elad Rosinger

Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs written by Elemer Elad Rosinger and published by Springer. This book was released on 2010-12-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions. The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings. Thus, they cannot be subsemigroups of Lie groups. Audience: This volume is addressed to graduate students and researchers involved in solving linear and nonlinear partial differential equations, and in particular, in dealing with the Lie group symmetries of their classical or generalised solutions.

Nonlinear Theory of Generalized Functions

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Publisher : Routledge
ISBN 13 : 1351428039
Total Pages : 400 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Nonlinear Theory of Generalized Functions by : Michael Oberguggenberger

Download or read book Nonlinear Theory of Generalized Functions written by Michael Oberguggenberger and published by Routledge. This book was released on 2022-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis. The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.

Geometric Theory of Generalized Functions with Applications to General Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9401598452
Total Pages : 517 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Geometric Theory of Generalized Functions with Applications to General Relativity by : M. Grosser

Download or read book Geometric Theory of Generalized Functions with Applications to General Relativity written by M. Grosser and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural aspects within the theory of generalized functions as well as a (selective but, as we hope, representative) set of applications. This main purpose of the book is accompanied by a number of sub ordinate goals which we were aiming at when arranging the material included here. First, despite the fact that by now several excellent mono graphs on Colombeau algebras are available, we have decided to give a self-contained introduction to the field in Chapter 1. Our motivation for this decision derives from two main features of our approach. On the one hand, in contrast to other treatments of the subject we base our intro duction to the field on the so-called special variant of the algebras, which makes many of the fundamental ideas of the field particularly transpar ent and at the same time facilitates and motivates the introduction of the more involved concepts treated later in the chapter.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of Principal Sheaves

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Publisher : Springer Science & Business Media
ISBN 13 : 1402034164
Total Pages : 444 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometry of Principal Sheaves by : Efstathios Vassiliou

Download or read book Geometry of Principal Sheaves written by Efstathios Vassiliou and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector and associated sheaves. Topics such as the moduli sheaf of connections, classification of principal sheaves, curvature, flat connections and flat sheaves, Chern-Weil theory, are also treated. The study brings to light fundamental notions and tools of the standard differential geometry which are susceptible of the present abstraction, and whose role remains unexploited in the classical context, because of the abundance of means therein. However, most of the latter are nonsensical in ADG.

Encyclopaedia of Mathematics, Supplement III

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Publisher : Springer Science & Business Media
ISBN 13 : 0306483734
Total Pages : 564 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Encyclopaedia of Mathematics, Supplement III by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics, Supplement III written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2007-11-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

The Geometrical Study of Differential Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821829645
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometrical Study of Differential Equations by : Joshua Allensworth Leslie

Download or read book The Geometrical Study of Differential Equations written by Joshua Allensworth Leslie and published by American Mathematical Soc.. This book was released on 2001 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on some of the talks given at the NSF-CBMS conference on ``The Geometrical Study of Differential Equations'' held at Howard University (Washington, DC). The collected papers present important recent developments in this area, including the treatment of nontransversal group actions in the theory of group invariant solutions of PDEs, a method for obtaining discrete symmetries of differential equations, the establishment of a group-invariant version of the variational complex based on a general moving frame construction, the introduction of a new variational complex for the calculus of difference equations and an original structural investigation of Lie-Backlund transformations. The book opens with a modern and illuminating overview of Lie's line-sphere correspondence and concludes with several interesting open problems arising from symmetry analysis of PDEs. It offers a rich source of inspiration for new or established researchers in the field. This book can serve nicely as a companion volume to a forthcoming book written by the principle speaker at the conference, Professor Niky Kamran, to be published in the AMS series, CBMS Regional Conference Series in Mathematics.

The British National Bibliography

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Publisher :
ISBN 13 :
Total Pages : 1778 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 1999 with total page 1778 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Theory of Generalized Functions

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Publisher : CRC Press
ISBN 13 : 9780849306495
Total Pages : 396 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Nonlinear Theory of Generalized Functions by : Michael Oberguggenberger

Download or read book Nonlinear Theory of Generalized Functions written by Michael Oberguggenberger and published by CRC Press. This book was released on 1999-03-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis. The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.

American Book Publishing Record Cumulative 1998

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Publisher :
ISBN 13 : 9780835240871
Total Pages : 1312 pages
Book Rating : 4.2/5 (48 download)

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Book Synopsis American Book Publishing Record Cumulative 1998 by : R R Bowker Publishing

Download or read book American Book Publishing Record Cumulative 1998 written by R R Bowker Publishing and published by . This book was released on 1999-03 with total page 1312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Unsolved Problems on Mathematics for the 21st Century

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Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Unsolved Problems on Mathematics for the 21st Century by : Kiyoshi Iseki

Download or read book Unsolved Problems on Mathematics for the 21st Century written by Kiyoshi Iseki and published by . This book was released on 2001 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cumulative Book Index

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Publisher :
ISBN 13 :
Total Pages : 2520 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis The Cumulative Book Index by :

Download or read book The Cumulative Book Index written by and published by . This book was released on 1999 with total page 2520 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 3rd Panhellenic Congress of Geometry

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Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of the 3rd Panhellenic Congress of Geometry by : Efstathios Vassiliou

Download or read book Proceedings of the 3rd Panhellenic Congress of Geometry written by Efstathios Vassiliou and published by . This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cumulated Index to the Books

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Publisher :
ISBN 13 :
Total Pages : 1124 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Cumulated Index to the Books by :

Download or read book Cumulated Index to the Books written by and published by . This book was released on 1999 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Books In Print 2004-2005

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Publisher : R. R. Bowker
ISBN 13 : 9780835246422
Total Pages : 3274 pages
Book Rating : 4.2/5 (464 download)

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Book Synopsis Books In Print 2004-2005 by : Ed Bowker Staff

Download or read book Books In Print 2004-2005 written by Ed Bowker Staff and published by R. R. Bowker. This book was released on 2004 with total page 3274 pages. Available in PDF, EPUB and Kindle. Book excerpt: