Progress in Nonlinear Differential Equations and Their Applications

Studies in Phase Space Analysis with Applications to PDEs

Editors: Cicognani, Massimo, Colombini, Ferruccio, Del Santo, Daniele (Eds.)

  • Provides both surveys and recent advances in phase space analysis for PDEs
  • Distinguished mathematicians address current work of importance
  • Encompasses applications to a wide range of areas in mathematics and physics
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About this book

This collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important.

Key topics addressed in this volume include:

*general theory of pseudodifferential operators

*Hardy-type inequalities

*linear and non-linear hyperbolic equations and systems

*Schrödinger equations

*water-wave equations

*Euler-Poisson systems

*Navier-Stokes equations

*heat and parabolic equations

Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource.

Contributors

T. Alazard                                P.I. Naumkin

J.-M. Bony                              F. Nicola

N. Burq                                   T. Nishitani

C. Cazacu                                T. Okaji

J.-Y. Chemin                           M. Paicu

E. Cordero                              A. Parmeggiani

R. Danchin                               V. Petkov

I. Gallagher                              M. Reissig

T. Gramchev                            L. Robbiano

N. Hayashi                               L. Rodino

J. Huang                                  M. Ruzhanky  

D. Lannes                                J.-C. Saut

F. Linares                                N. Visciglia

P.B. Mucha                             P. Zhang

C. Mullaert                              E. Zuazua

T. Narazaki                             C. Zuily

 

Table of contents (17 chapters)

  • The Water-Wave Equations: From Zakharov to Euler

    Alazard, Thomas (et al.)

    Pages 1-20

  • On the Characterization of Pseudodifferential Operators (Old and New)

    Bony, Jean-Michel

    Pages 21-34

  • Improved Multipolar Hardy Inequalities

    Cazacu, Cristian (et al.)

    Pages 35-52

  • The Role of Spectral Anisotropy in the Resolution of the Three-Dimensional Navier–Stokes Equations

    Chemin, Jean-Yves (et al.)

    Pages 53-79

  • Schrödinger Equations in Modulation Spaces

    Cordero, Elena (et al.)

    Pages 81-99

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-1-4614-6348-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-1-4614-6347-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.00
price for USA
  • ISBN 978-1-4899-9940-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Studies in Phase Space Analysis with Applications to PDEs
Editors
  • Massimo Cicognani
  • Ferruccio Colombini
  • Daniele Del Santo
Series Title
Progress in Nonlinear Differential Equations and Their Applications
Series Volume
84
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6348-1
DOI
10.1007/978-1-4614-6348-1
Hardcover ISBN
978-1-4614-6347-4
Softcover ISBN
978-1-4899-9940-5
Series ISSN
1421-1750
Edition Number
1
Number of Pages
XVII, 379
Topics