Studies in Phase Space Analysis with Applications to PDEs

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.- 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.