Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: Lower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equations
zbMATH Open document ID: 1143.35371
author: Hideaki Sunagawa
published in: Osaka Journal of Mathematics
publication date: 2008-05-22T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1165850035
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5278254
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: lower bounds
zbMATH Keywords: lifespan of solutions
MaRDI profile type: Publication
cites work: Blowup for nonlinear hyperbolic equations
cites work: Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
cites work: Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II
cites work: The null condition for quasilinear wave equations in two space dimensions. I
cites work: The null condition for quasilinear wave equations in two space dimensions. II
cites work: Local existence for the semilinear Schrödinger equations in one space dimension
cites work: The initial value problem for cubic semilinear Schrödinger equations
cites work: Global solutions of nonlinear hyperbolic equations for small initial data
cites work: Lower bound of the time of existence for the nonlinear Klein-Gordon equation in one space dimension
cites work: Global existence and asymptotics for the quasilinear Klein-Gordon equation with small data in one space dimension
cites work: Lifespan of solutions of semilinear wave equations in two space dimensions
cites work: Q4337791
cites work: Q4393947
cites work: Q4824262
cites work: Q4796761
cites work: Large time behavior of solutions for derivative cubic nonlinear Schrödinger equations
cites work: Modified wave operators for the derivative nonlinear Schrödinger equation
cites work: Remarks on nonlinear Schrödinger equations in one space dimension
cites work: Q3769304
cites work: Q4839301
cites work: Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small initial data
cites work: Q3998613
cites work: Global existence for systems of nonlinear wave equations in two space dimensions. II
cites work: Global existence of solutions for nonlinear schrödinger equations in one space dimension
cites work: Small solutions to nonlinear Schrödinger equations
cites work: Q3733338
cites work: Long range scattering for nonlinear Schrödinger equations in one space dimension
cites work: On the nonlinear Schrodinger equations of derivative type
cites work: Life-span of smooth solutions to the complex Ginzburg–Landau type equation on a torus
cites work: Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
cites work: Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms
cites work: Q4301005
description: scientific article; zbMATH DE number 5278254