An Invitation To Hypoelliptic Operators And Hormander S Vector Fields
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An Invitation To Hypoelliptic Operators And H Rmander S Vector Fields
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Author : Marco Bramanti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-20
An Invitation To Hypoelliptic Operators And H Rmander S Vector Fields written by Marco Bramanti 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 2013-11-20 with Mathematics categories.
Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development.
An Invitation To Hypoelliptic Operators And Hormander S Vector Fields
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Author : Marco Bramanti
language : en
Publisher:
Release Date : 2013-11-30
An Invitation To Hypoelliptic Operators And Hormander S Vector Fields written by Marco Bramanti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-30 with categories.
An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups
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Author : Stefano Biagi
language : en
Publisher: World Scientific
Release Date : 2018-12-05
An Introduction To The Geometrical Analysis Of Vector Fields With Applications To Maximum Principles And Lie Groups written by Stefano Biagi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-05 with Mathematics categories.
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
Tunneling Estimates And Approximate Controllability For Hypoelliptic Equations
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Author : Camille Laurent
language : en
Publisher: American Mathematical Society
Release Date : 2022-04-08
Tunneling Estimates And Approximate Controllability For Hypoelliptic Equations written by Camille Laurent and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-08 with Mathematics categories.
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H Rmander Operators
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Author : Marco Bramanti
language : en
Publisher:
Release Date : 2022
H Rmander Operators written by Marco Bramanti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Elliptic operators categories.
Hörmander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regularizing. The study of these operators began with the 1967 fundamental paper by Lars Hörmander and is intimately connected to the geometry of vector fields. Motivations for the study of Hörmander operators come for instance from Kolmogorov-Fokker-Planck equations arising from modeling physical systems governed by stochastic equations and the geometric theory of several complex variables. The aim of this book is to give a systematic exposition of a relevant part of the theory of Hörmander operators and vector fields, together with the necessary background and prerequisites. The book is intended for self-study, or as a reference book, and can be useful to both younger and senior researchers, already working in this area or aiming to approach it
Fourier Analysis With Applications
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Author : Adrian Constantin
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-02
Fourier Analysis With Applications written by Adrian Constantin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Mathematics categories.
A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.
Harmonic Analysis And Boundary Value Problems
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Author : Luca Capogna
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Harmonic Analysis And Boundary Value Problems written by Luca Capogna 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 presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
Hypocoercivity
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Author : Cdric Villani
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-10-08
Hypocoercivity written by Cdric Villani 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 2009-10-08 with Mathematics categories.
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.
Applications Of Lie Groups To Differential Equations
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Author : Peter J. Olver
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Lie Groups To Differential Equations written by Peter J. Olver 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 2012-12-06 with Mathematics categories.
This book is devoted to explaining a wide range of applications of con tinuous symmetry groups to physically important systems of differential equations. Emphasis is placed on significant applications of group-theoretic methods, organized so that the applied reader can readily learn the basic computational techniques required for genuine physical problems. The first chapter collects together (but does not prove) those aspects of Lie group theory which are of importance to differential equations. Applications covered in the body of the book include calculation of symmetry groups of differential equations, integration of ordinary differential equations, including special techniques for Euler-Lagrange equations or Hamiltonian systems, differential invariants and construction of equations with pre scribed symmetry groups, group-invariant solutions of partial differential equations, dimensional analysis, and the connections between conservation laws and symmetry groups. Generalizations of the basic symmetry group concept, and applications to conservation laws, integrability conditions, completely integrable systems and soliton equations, and bi-Hamiltonian systems are covered in detail. The exposition is reasonably self-contained, and supplemented by numerous examples of direct physical importance, chosen from classical mechanics, fluid mechanics, elasticity and other applied areas.
Spectral Geometry
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Author : Pierre H. Berard
language : en
Publisher: Springer
Release Date : 2006-11-14
Spectral Geometry written by Pierre H. Berard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.