Studies in Phase Space Analysis with Applications to PDEs
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Beschreibung
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 equationsVarious levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource.ContributorsT. Alazard P.I. NaumkinJ.-M. Bony F. Nicola N. Burq T. NishitaniC. Cazacu T. OkajiJ.-Y. Chemin M. PaicuE. Cordero A. ParmeggianiR. Danchin V. PetkovI. Gallagher M. ReissigT. Gramchev L. RobbianoN. Hayashi L. RodinoJ.Huang M. Ruzhanky D. Lannes J.-C. SautF. Linares N. ViscigliaP.B. Mucha P. ZhangC. Mullaert E. ZuazuaT. Narazaki C. Zuily
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 equationsVarious levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource.ContributorsT. Alazard P.I. NaumkinJ.-M. Bony F. Nicola N. Burq T. NishitaniC. Cazacu T. OkajiJ.-Y. Chemin M. PaicuE. Cordero A. ParmeggianiR. Danchin V. PetkovI. Gallagher M. ReissigT. Gramchev L. RobbianoN. Hayashi L. RodinoJ.Huang M. Ruzhanky D. Lannes J.-C. SautF. Linares N. ViscigliaP.B. Mucha P. ZhangC. Mullaert E. ZuazuaT. Narazaki C. Zuily
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 Includes supplementary material: sn.pub/extras
Autor*in
Massimo Cicognani
Themen in »Studies in Phase Space Analysis with Applications to PDEs«
Fourier integral operators Navier-Stokes and Euler systems Schrodinger equations hyperbolic equations inverse problems local solvability of partial differential equations phase space analysis partial differential equations ordinary differential equations