The general quasilinear ultrahyperbolic Schrödinger equation

DOI10.1016/j.aim.2005.09.005zbMath1122.35137arXivmath/0503206OpenAlexW2043157620MaRDI QIDQ850008

Christian Rolvung, Gustavo Ponce, Carlos E. Kenig, Luis Vega

Publication date: 15 November 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503206

zbMATH Keywords

local well-posednessquasilinear Schrödinger equation

Mathematics Subject Classification ID

Related Items (13)

Strichartz and Local Smoothing Estimates for Stochastic Dispersive Equations with Linear Multiplicative Noise ⋮ Conditional stability for a Cauchy problem for the ultrahyperbolic Schrödinger equation ⋮ Smoothing and Strichartz estimates for degenerate Schrödinger-type equations ⋮ Inviscid limit behavior of solution for the multi-dimensional derivative complex Ginzburg-Landau equation ⋮ Quasilinear Schrödinger equations. I: Small data and quadratic interactions ⋮ Modulation Spaces and Nonlinear Evolution Equations ⋮ Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations ⋮ Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities ⋮ Quasilinear Schrödinger equations. III: Large data and short time. ⋮ Global Well-Posedness and Scattering for Derivative Schrödinger Equation ⋮ Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data ⋮ Local well-posedness of the derivative Schrödinger equation in higher dimension for any large data ⋮ Uniform regularity for a density-dependent incompressible Gross-Pitaevskii-Navier-Stokes system

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