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Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs, Elemer E. Rosinger


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Автор: Elemer E. Rosinger
Название:  Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 9789048150939
Издательство: Springer
Классификация: ISBN-10: 9048150930
Обложка/Формат: Paperback
Страницы: 238
Вес: 0.37 кг.
Дата издания: 09.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Подзаголовок: Including a Solution to Hilbert’s Fifth Problem
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalised functions. Earlier, in part 3 of Oberguggenberger & Rosinger, Lie group actions were defined globally - in the projectable case - on the nowhere dense differential algebras of generalised functions An, as well as on the Colombeau algebras of generalised functions, and also on the spaces obtained through the order completion of smooth functions, spaces which contain the solutions of arbitrary continuous nonlinear PDEs. Further details can be found in Rosinger & Rudolph, and Rosinger & Walus 1,2]. To the extent that arbitrary Lie group actions are now defined on such nonsmooth entities as generalised functions, this result can be seen as giving an ans wer to Hilberts fifth problem, when this problem is interpreted in its original full gener- ality, see for details chapter 11.


Nonlinear Time Series / Nonparametric and Parametric Methods

Автор: Fan Jianqing, Yao Qiwei
Название: Nonlinear Time Series / Nonparametric and Parametric Methods
ISBN: 0387261427 ISBN-13(EAN): 9780387261423
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book presents the contemporary statistical methods and theory of nonlinear time series analysis. The principal focus is on nonparametric and semiparametric techniques developed in the last decade. It covers the techniques for modelling in state-space, in frequency-domain as well as in time-domain. To reflect the integration of parametric and nonparametric methods in analyzing time series data, the book also presents an up-to-date exposure of some parametric nonlinear models, including ARCH/GARCH models and threshold models. A compact view on linear ARMA models is also provided. Data arising in real applications are used throughout to show how nonparametric approaches may help to reveal local structure in high-dimensional data. Important technical tools are also introduced. The book will be useful for graduate students, application-oriented time series analysts, and new and experienced researchers. It will have the value both within the statistical community and across a broad spectrum of other fields such as econometrics, empirical finance, population biology and ecology. The prerequisites are basic courses in probability and statistics. Jianqing Fan, coauthor of the highly regarded book Local Polynomial Modeling, is Professor of Statistics at the University of North Carolina at Chapel Hill and the Chinese University of Hong Kong. His published work on nonparametric modeling, nonlinear time series, financial econometrics, analysis of longitudinal data, model selection, wavelets and other aspects of methodological and theoretical statistics has been recognized with the Presidents' Award from the Committee of Presidents of Statistical Societies, the Hettleman Prize for Artistic and Scholarly Achievement from the University of North Carolina, and by his election as a fellow of the American Statistical Association and the Institute of Mathematical Statistics. Qiwei Yao is Professor of Statistics at the London School of Economics and Political Science. He is an elected member of the International Statistical Institute, and has served on the editorial boards for the Journal of the Royal Statistical Society (Series B) and the Australian and New Zealand Journal of Statistics.

Advances in Superprocesses and Nonlinear PDEs

Автор: Englander Janos
Название: Advances in Superprocesses and Nonlinear PDEs
ISBN: 1461462398 ISBN-13(EAN): 9781461462392
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Sergei Kuznetsov is one of the top experts on measure valued branching processes (also known as "superprocesses") and their connection to nonlinear partial differential operators. His research interests range from stochastic processes and partial differential equations to mathematical statistics, time series analysis and statistical software;

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 0792352327 ISBN-13(EAN): 9780792352327
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions.

Nonlinear Stochastic PDEs

Автор: Tadahisa Funaki; Wojbor Woyczynski
Название: Nonlinear Stochastic PDEs
ISBN: 1461384702 ISBN-13(EAN): 9781461384700
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This IMA Volume in Mathematics and its Applications NONLINEAR STOCHASTIC PDEs: HYDRODYNAMIC LIMIT AND BURGERS` TURBULENCE is based on the proceedings of the period of concentration on Stochas- tic Methods for Nonlinear PDEs which was an integral part of the 1993- 94 IMA program on "Emerging Applications of Probability."

High Order Nonlinear Numerical Schemes for Evolutionary PDEs

Автор: R?mi Abgrall; H?lo?se Beaugendre; Pietro Marco Con
Название: High Order Nonlinear Numerical Schemes for Evolutionary PDEs
ISBN: 3319381725 ISBN-13(EAN): 9783319381725
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013.

Fully Nonlinear PDEs in Real and Complex Geometry and Optics

Автор: Luca Capogna; Pengfei Guan; Cristian E. Guti?rrez;
Название: Fully Nonlinear PDEs in Real and Complex Geometry and Optics
ISBN: 3319009419 ISBN-13(EAN): 9783319009414
Издательство: Springer
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Цена: 4890.00 р.
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Описание:

Introduction.- L∞ extremal mappings in AMLE and Teichmьller theory.- Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear Pde's.- Refraction Problems In Geometric Optics.- On the Levi Monge-Ampиre equation.

Generalized Solutions of First Order PDEs

Автор: Andrei I. Subbotin
Название: Generalized Solutions of First Order PDEs
ISBN: 1461269202 ISBN-13(EAN): 9781461269205
Издательство: Springer
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Цена: 13974.00 р.
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Advances in Superprocesses and Nonlinear PDEs

Автор: Janos Englander; Brian Rider
Название: Advances in Superprocesses and Nonlinear PDEs
ISBN: 1489973338 ISBN-13(EAN): 9781489973337
Издательство: Springer
Рейтинг:
Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Sergei Kuznetsov is one of the top experts on measure valued branching processes (also known as "superprocesses") and their connection to nonlinear partial differential operators. His research interests range from stochastic processes and partial differential equations to mathematical statistics, time series analysis and statistical software;

Nonlinear PDEs

Автор: Marius Ghergu; Vicentiu RADULESCU
Название: Nonlinear PDEs
ISBN: 3642269842 ISBN-13(EAN): 9783642269844
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book shows how to apply theoretical mathematical models to unravel the mechanisms involved in processes found in mathematical physics and the biosciences. It is a unique collection of abstract methods that deploy nonlinear partial differential equations.


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