The cauchy problem for the critical nonlinear Schrödinger equation in Hs
type: Item
instance of: scholarly article
title: The cauchy problem for the critical nonlinear Schrödinger equation in Hs
zbMATH Open document ID: 0706.35127
DOI: 10.1016/0362-546X(90)90023-A
author: Thierry Cazenave
author: Fred B. Weissler
published in: Nonlinear Analysis: Theory, Methods & Applications
publication date: 1990-01-01T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4159300
zbMATH Keywords: global existence
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Besov spaces
MaRDI profile type: Publication
cites work: Q4112938
cites work: The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
cites work: Q3469592
cites work: Boundary Value Problems for the Navier-Stokes Equations
cites work: On the Navier-Stokes initial value problem. I
cites work: Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
cites work: Q3736159
cites work: Solutions in \(L_ r\) of the Navier-Stokes initial value problem
cites work: Q3961847
cites work: The global Cauchy problem for the nonlinear Schrödinger equation revisited
cites work: The global Cauchy problem for the nonlinear Klein-Gordon equation
cites work: Q3916903
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Q3769298
cites work: On the nonstationary Navier-Stokes systems
cites work: Limit of the solution of a nonlinear Schrödinger equation at blow-up time
cites work: On the initial value problem for the Navier-Stokes equations in \(L^ p\) spaces
cites work: Q3729437
cites work: Abstract non linear wave equations
cites work: Q4196809
cites work: Q5607484
cites work: Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
cites work: Q3779084
cites work: Q3897389
cites work: Q4629102
cites work: Q3762688
cites work: On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
cites work: Q3886160
cites work: The Navier-Stokes initial value problem in \(L^ p\).
cites work: Existence and non-existence of global solutions for a semilinear heat equation
cites work: Q3767746
cites work: Existence of solutions for Schrödinger evolution equations
description: scientific article