Studies in Phase Space Analysis with Applications to PDEs

Nonfiction, Science & Nature, Mathematics, Differential Equations, Mathematical Analysis
Cover of the book Studies in Phase Space Analysis with Applications to PDEs by , Springer New York
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Author: ISBN: 9781461463481
Publisher: Springer New York Publication: March 12, 2013
Imprint: Birkhäuser Language: English
Author:
ISBN: 9781461463481
Publisher: Springer New York
Publication: March 12, 2013
Imprint: Birkhäuser
Language: English

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

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

 

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