LEADER 05033nam 2200529Ia 450 001 9910739441603321 005 20200520144314.0 010 $a1-4614-6348-3 024 7 $a10.1007/978-1-4614-6348-1 035 $a(OCoLC)834099686 035 $a(MiFhGG)GVRL6WLE 035 $a(CKB)2560000000103247 035 $a(MiAaPQ)EBC1205308 035 $a(EXLCZ)992560000000103247 100 $a20130401d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aStudies in phase space analysis with applications to PDEs /$fMassimo Cicognani, Ferruccio Colombini, Daniele Del Santo, editors 205 $a1st ed. 2013. 210 $aNew York $cBirkhauser$dc2013 215 $a1 online resource (xvii, 379 pages) $cillustrations 225 1 $aProgress in nonlinear differential equations and their applications ;$vv.84 300 $aDescription based upon print version of record. 311 $a1-4899-9940-X 311 $a1-4614-6347-5 320 $aIncludes bibliographical references. 327 $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. 330 $aThis collection of original articles and surveys, emerging from a 2011 conference in Bertinoro, Italy, addresses recent advances in linear and nonlinear aspects of the theory of partial differential equations (PDEs). Phase space analysis methods, also known as microlocal analysis, have continued to yield striking results over the past years and are now one of the main tools of investigation of PDEs. Their role in many applications to physics, including quantum and spectral theory, is equally important. Key topics addressed in this volume include: *general theory of pseudodifferential operators *Hardy-type inequalities *linear and non-linear hyperbolic equations and systems *Schrödinger equations *water-wave equations *Euler-Poisson systems *Navier-Stokes equations *heat and parabolic equations Various levels of graduate students, along with researchers in PDEs and related fields, will find this book to be an excellent resource. Contributors T. Alazard                                P.I. Naumkin J.-M. Bony                              F. Nicola N. Burq                                   T. Nishitani C. Cazacu                                T. Okaji J.-Y. Chemin                           M. Paicu E. Cordero                              A. Parmeggiani R. Danchin                               V. Petkov I. Gallagher                              M. Reissig T. Gramchev                            L. Robbiano N. Hayashi                               L. Rodino J. Huang                                  M. Ruzhanky   D. Lannes                                J.-C. Saut F. Linares                                N. Visciglia P.B. Mucha                             P. Zhang C. Mullaert                              E. Zuazua T. Narazaki                             C. Zuily. 410 0$aProgress in nonlinear differential equations and their applications ;$vv. 84. 606 $aPhase space (Statistical physics) 606 $aDifferential equations, Partial 615 0$aPhase space (Statistical physics) 615 0$aDifferential equations, Partial. 676 $a515.2433 701 $aCicognani$b Massimo$01755453 701 $aColombini$b F$g(Ferruccio)$013340 701 $aDel Santo$b Daniele$0798601 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739441603321 996 $aStudies in phase space analysis with applications to PDEs$94192232 997 $aUNINA