Cengage Learning

An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields, 1st Edition

  • Published By:
  • ISBN-10: 3319020870
  • ISBN-13: 9783319020877
  • DDC: 575.7242
  • Grade Level Range: College Freshman - College Senior
  • 150 Pages | eBook
  • Original Copyright 2014 | Published/Released May 2014
  • This publication's content originally published in print form: 2014

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About

Overview

​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.

Table of Contents

Front Cover.
Series Editors.
Title Page.
Copyright Page.
Preface.
Acknowledgments.
Contents.
1: Hörmander's Operators: What They Are.
2: Hörmander's Operators: Why They Are Studied.
3: A Priori Estimates in Sobolev Spaces for Hörmander's Operators.
4: Geometry of Hörmander's Vector Fields.
5: Beyond Hörmander's Operators.