Cart
Free US shipping over $10
Proud to be B-Corp

Studies in Phase Space Analysis with Applications to PDEs Massimo Cicognani

Studies in Phase Space Analysis with Applications to PDEs By Massimo Cicognani

Studies in Phase Space Analysis with Applications to PDEs by Massimo Cicognani


Summary

This book covers advances in linear and nonlinear aspects of the theory of partial differential equations. Includes general theory; Hardy-type inequalities; linear and non-linear hyperbolic equations; Schrodinger equations; water-wave equations and more.

Studies in Phase Space Analysis with Applications to PDEs Summary

Studies in Phase Space Analysis with Applications to PDEs by Massimo Cicognani

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

*Schroedinger 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

Preface.- The water-waves equations: from Zakharov to Euler.- On the characterization of pseudodifferential operators (old and new).- Improved multipolar Hardy inequalities.- The role of spectral anisotropy in the resolution of the three-dimensional Navier-Stokes equations.- Schroedinger equations in modulation spaces.- New maximal regularity results for the heat equation in exterior domains, and applications.- Cauchy problem for some 22 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part.- Scattering problem for quadratic nonlinear Klein-Gordon equation in 2d.- Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density.- The Cauchy problem for the Euler-Poisson system and derivation of the Zakharov-Kuznetsov equation.- L1 estimates for oscillating integrals related to structural damped wave models.- On the Cauchy problem for noneffectively hyperbolic operators, a transition case.- References.

Additional information

NLS9781489999405
9781489999405
148999940X
Studies in Phase Space Analysis with Applications to PDEs by Massimo Cicognani
New
Paperback
Birkhauser Boston Inc
2015-04-03
379
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Studies in Phase Space Analysis with Applications to PDEs