000 05308nam a22005535i 4500
001 978-1-4614-6348-1
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008 130321s2013 xxu| s |||| 0|eng d
020 _a9781461463481
_9978-1-4614-6348-1
024 7 _a10.1007/978-1-4614-6348-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aCicognani, Massimo.
_eeditor.
245 1 0 _aStudies in Phase Space Analysis with Applications to PDEs
_h[electronic resource] /
_cedited by Massimo Cicognani, Ferruccio Colombini, Daniele Del Santo.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2013.
300 _aXVII, 379 p. 4 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Nonlinear Differential Equations and Their Applications ;
_v84
505 0 _aPreface -- 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 -- Schrödinger 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.
520 _aThis 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
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDifferentiable dynamical systems.
650 0 _aDifferential Equations.
650 0 _aDifferential equations, partial.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aDynamical Systems and Ergodic Theory.
650 2 4 _aMathematical Physics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aAnalysis.
650 2 4 _aApplications of Mathematics.
700 1 _aColombini, Ferruccio.
_eeditor.
700 1 _aDel Santo, Daniele.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461463474
830 0 _aProgress in Nonlinear Differential Equations and Their Applications ;
_v84
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-6348-1
912 _aZDB-2-SMA
999 _c95649
_d95649