Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes
DOWNLOAD
Download Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes
DOWNLOAD
Author : Elemer E. Rosinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes written by Elemer E. Rosinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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
DOWNLOAD
Author : Michael Oberguggenberger
language : en
Publisher: Routledge
Release Date : 2022-02-27
Nonlinear Theory Of Generalized Functions written by Michael Oberguggenberger and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-27 with Mathematics categories.
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.
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes
DOWNLOAD
Author : Elemer Elad Rosinger
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-31
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes written by Elemer Elad Rosinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-31 with Mathematics categories.
Presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalized functions. This work addresses those who are interested in solving nonlinear PDEs, and in particular, in studying the Lie group symmetries of their classical or generalized solutions. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalized functions were only defined in the case of projectable or fiber preserving Lie group actions. Annotation copyrighted by Book News, Inc., Portland, OR
Geometric Theory Of Generalized Functions With Applications To General Relativity
DOWNLOAD
Author : M. Grosser
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Geometric Theory Of Generalized Functions With Applications To General Relativity written by M. Grosser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Encyclopaedia Of Mathematics Supplement Iii
DOWNLOAD
Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-23
Encyclopaedia Of Mathematics Supplement Iii written by Michiel Hazewinkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-23 with Mathematics categories.
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
DOWNLOAD
Author : Joshua Allensworth Leslie
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
The Geometrical Study Of Differential Equations written by Joshua Allensworth Leslie and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
Modern Differential Geometry In Gauge Theories
DOWNLOAD
Author : Anastasios Mallios
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-22
Modern Differential Geometry In Gauge Theories written by Anastasios Mallios and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-22 with Mathematics categories.
Original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes
DOWNLOAD
Author : Elemer Elad Rosinger
language : en
Publisher:
Release Date : 2014-01-15
Parametric Lie Group Actions On Global Generalised Solutions Of Nonlinear Pdes written by Elemer Elad Rosinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Differential Sheaves And Connections A Natural Approach To Physical Geometry
DOWNLOAD
Author : Anastasios Mallios
language : en
Publisher: World Scientific
Release Date : 2015-09-17
Differential Sheaves And Connections A Natural Approach To Physical Geometry written by Anastasios Mallios and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-17 with Mathematics categories.
This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.