Progress in Nonlinear Differential Equations and Their Applications

Advances in Phase Space Analysis of Partial Differential Equations

In Honor of Ferruccio Colombini's 60th Birthday

Editors: Bove, Antonio, Del Santo, Daniele, Murthy, M.K. Venkatesha (Eds.)

  • Provides both surveys and recent advances in phase space analysis for partial differential equations
  • Distinguished mathematicians address current work of importance
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  • ISBN 978-0-8176-4861-9
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Hardcover $199.00
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About this book

This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations.

Key topics include:

* Operators as "sums of squares" of real and complex vector fields: both analytic hypoellipticity and regularity for very low regularity coefficients;

* Nonlinear evolution equations: Navier–Stokes system, Strichartz estimates for the wave equation, instability and the Zakharov equation and eikonals;

* Local solvability: its connection with subellipticity, local solvability for systems of vector fields in Gevrey classes;

* Hyperbolic equations: the Cauchy problem and multiple characteristics, both positive and negative results.

Graduate students at various levels as well as researchers in PDEs and related fields will find this an excellent resource.

List of contributors:

L. Ambrosio                            N. Lerner

H. Bahouri                              X. Lu

S. Berhanu                              J. Metcalfe

J.-M. Bony                              T. Nishitani

N. Dencker                              V. Petkov

S. Ervedoza                             J. Rauch

I. Gallagher                             M. Reissig

J. Hounie                                 L. Stoyanov

E. Jannelli                                D. S. Tartakoff

K. Kajitani                              D. Tataru

A. Kurganov                           F. Treves

                                                G. Zampieri

                                                E. Zuazua

Table of contents (17 chapters)

  • Tangent Halfspaces to Sets of Finite Perimeter in Carnot Groups

    Ambrosio, Luigi

    Pages 1-16

  • The Heat Kernel and Frequency Localized Functions on the Heisenberg Group

    Bahouri, Hajer (et al.)

    Pages 17-35

  • A Generalization of the Rudin–Carleson Theorem

    Berhanu, Shiferaw (et al.)

    Pages 37-57

  • Evolution Equations and Generalized Fourier Integral Operators

    Bony, Jean-Michel

    Pages 59-72

  • The Solvability and Subellipticity of Systems of Pseudodifferential Operators

    Dencker, Nils

    Pages 73-94

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-0-8176-4861-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-0-8176-4860-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in Phase Space Analysis of Partial Differential Equations
Book Subtitle
In Honor of Ferruccio Colombini's 60th Birthday
Editors
  • Antonio Bove
  • Daniele Del Santo
  • M.K. Venkatesha Murthy
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Series Volume
78
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4861-9
DOI
10.1007/978-0-8176-4861-9
Hardcover ISBN
978-0-8176-4860-2
Series ISSN
1421-1750
Edition Number
1
Number of Pages
XIV, 292
Number of Illustrations and Tables
1 b/w illustrations
Topics