Studies In Phase Space Analysis With Applications To Pdes Massimo Cicognani F Colombini Daniele Del Santo Eds by Massimo Cicognani; F Colombini; Daniele Del Santo (eds.) 9781461463481, 1461463483 instant download after payment.

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 Read more... The Water-Wave Equations: From Zakharov to Euler / Thomas Alazard, Nicolas Burq, Claude Zuily -- On the Characterization of Pseudodifferential Operators (Old and New) / Jean-Michel Bony -- Improved Multipolar Hardy Inequalities / Cristian Cazacu -- The Role of Spectral Anisotropy in the Resolution of the Three-Dimensional Navier-Stokes Equations / Jean-Yves Chemin, Isabelle Gallagher -- Schrödinger Equations in Modulation Spaces / Elena Cordero, Fabio Nicola, Luigi Rodino -- New Maximal Regularity Results for the Heat Equation in Exterior Domains, and Applications / Raphaël Danchin, Piotr Bogusław Mucha -- Cauchy Problem for Some 2 x 2 Hyperbolic Systems of Pseudo-differential Equations with Nondiagonalisable Principal Part / Todor Gramchev, Michael Ruzhansky -- Scattering Problem for Quadratic Nonlinear Klein-Gordon Equation in 2D / Nakao Hayashi -- Global Solutions to the 3-D Incompressible Inhomogeneous Navier-Stokes System with Rough Density / Jingchi Huang, Marius Paicu, Ping Zhang -- The Cauchy Problem for the Euler-Poisson System and Derivation of the Zakharov-Kuznetsov Equation / David Lannes, Felipe Linares -- L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models / Takashi Narazaki, Michael Reissig -- On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case / Tatsuo Nishitani -- A Note on Unique Continuation for Parabolic Operators with Singular Potentials / Takashi Okaji -- On the Problem of Positivity of Pseudodifferential Systems / Alberto Parmeggiani -- Scattering Problems for Symmetric Systems with Dissipative Boundary Conditions / Vesselin Petkov -- Kato Smoothing Effect for Schrödinger Operator / Luc Robbiano -- On the Cauchy Problem for NLS with Randomized Initial Data / Nicola Visciglia