Partial Differential Equations III : Nonlinear Equations

Michael E. Taylor

ISBN 10: 146142741X / ISBN 13: 9781461427414

Published by Springer New York, Springer US, 2012

About this Item

Druck auf Anfrage Neuware - Printed after ordering - The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis.

Seller Inventory # 9781461427414

Bibliographic Details

• Title: Partial Differential Equations III : Nonlinear Equations
• Publisher: Springer New York, Springer US
• Publication Date: 2012
• Language: English
• ISBN 10: 146142741X
• ISBN 13: 9781461427414
• Binding: Taschenbuch
• Edition: 2nd Edition
• Condition: Neu

About this title

Synopsis

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis

About the Author

Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.