Studies in Phase Space Analysis with Applications to PDEs

  • Massimo Cicognani
  • Ferruccio Colombini
  • Daniele Del Santo

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 84)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Thomas Alazard, Nicolas Burq, Claude Zuily
    Pages 1-20
  3. Cristian Cazacu, Enrique Zuazua
    Pages 35-52
  4. Jean-Yves Chemin, Isabelle Gallagher, Chloé Mullaert
    Pages 53-79
  5. Elena Cordero, Fabio Nicola, Luigi Rodino
    Pages 81-99
  6. Nakao Hayashi, Pavel I. Naumkin
    Pages 147-158

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.


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


Fourier integral operators Navier-Stokes and Euler systems Schrodinger equations hyperbolic equations inverse problems local solvability of partial differential equations phase space analysis

Editors and affiliations

  • Massimo Cicognani
    • 1
  • Ferruccio Colombini
    • 2
  • Daniele Del Santo
    • 3
  1. 1., Dipartimento di MatematicaUniversità di BolognaBolognaItaly
  2. 2., Dipartimento di MatematicaUniversità di PisaPisaItaly
  3. 3., Dipartimento di Matematica e GeoscienzeUniversità di TriesteTriesteItaly

Bibliographic information

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