Download or read book Positive Semigroups Generated by Elliptic Operators on Lie Groups written by Wolfgang Arendt and published by . This book was released on 1989 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Analysis And Mathematical Physics Anestoc 96 Proceedings Of The 2nd International Workshop written by Rolando Rebolledo and published by World Scientific. This book was released on 1998-09-02 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elliptic Operators and Lie Groups written by Derek W. Robinson and published by . This book was released on 1991 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups, the study of evolution equations, and the examination of Riemannian manifolds. This book develops the basic theory of elliptic operators on Lie groups and thereby extends the conventional theory of parabolic evolution equations to a natural noncommutative context. In order to achieve this goal, the author presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis, and the theory of Lie groups. He begins by discussing the abstract theory of general operators with complex coefficients before concentrating on the central case of second-order operators with real coefficients. A full discussion of second-order subelliptic operators is also given. Prerequisites are a familiarity with basic semigroup theory, the elementary theory of Lie groups, and a firm grounding in functional analysis as might be gained from the first year of a graduate course.
Download or read book Lie Semigroups and their Applications written by Joachim Hilgert and published by Springer. This book was released on 2006-11-15 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol'shanskii semigroups. Applications to representation theory, symplectic geometry and Hardy spaces are also given. The book is written as an efficient guide for those interested in subsemigroups of Lie groups and their applications in various fields of mathematics (see the User's guide at the end of the Introduction). Since it is essentially self-contained and leads directly to the core of the theory, the first part of the book can also serve as an introduction to the subject. The reader is merely expected to be familiar with the basic theory of Lie groups and Lie algebras.
Download or read book Elliptic Operators on Lie Groups written by A. F. M. ter Elst and published by . This book was released on 1995 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis on Lie Groups with Polynomial Growth written by Nick Dungey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Download or read book National Research Symposium on Geometric Analysis and Applications ANU June 26 30 2000 written by Alexander Isaev and published by . This book was released on 2001 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis on Lie Groups with Polynomial Growth written by Nick Dungey and published by Springer Science & Business Media. This book was released on 2003-09-12 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Download or read book Semigroups of Operators Theory and Applications written by A.V. Balakrishnan and published by Birkhäuser. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.
Download or read book Sub Laplacians with Drift on Lie Groups of Polynomial Volume Growth written by Georgios K. Alexopoulos and published by American Mathematical Soc.. This book was released on 2002 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in topological groups, Lie groups, and harmonic analysis.
Download or read book Quaestiones Mathematicae written by and published by . This book was released on 1994 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Analysis and Related Topics written by Fabrice Baudoin and published by Birkhäuser. This book was released on 2017-10-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Bañuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Lévy processes, Brownian motion on manifolds, and spin glasses, among other topics.
Download or read book Estimates on the Semigroups Generated by Left Invariant Operators on Lie Groups written by Waldemar Hebisch and published by . This book was released on 1990 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maximal Subellipticity written by Brian Street and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-03 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.
Download or read book Semigroups of Bounded Operators and Second Order Elliptic and Parabolic Partial Differential Equations written by Luca Lorenzi and published by CRC Press. This book was released on 2021-01-06 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators, while demonstrating how the theory of semigroups represents a powerful tool to analyze general parabolic equations. Features Useful for students and researchers as an introduction to the field of partial differential equations of elliptic and parabolic types Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial differential equations
Download or read book Handbook of Differential Equations Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2004-08-24 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous, and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimates A.Bressan: The front tracking method for systems of conservation laws E.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations; L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systems A.Lunardi: Nonlinear parabolic equations and systems D.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE’s: from theory to numerics
Download or read book Matrix Convolution Operators on Groups written by Cho-Ho Chu and published by Springer Science & Business Media. This book was released on 2008-08-25 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents developments in the spectral theory of convolution operators of matrix functions. It studies the contractivity properties of matrix convolution semigroups and details applications to harmonic functions.
