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Nonlinear Schroedinger equations and sharp interpolation estimates

Abstract

A sharp sufficient condition for global existence is obtained for the nonlinear Schroedinger equation. This condition is in terms of an exact stationary solution (nonlinear ground state) of (NLS). It is derived by solving a variational problem to obtain the 'best constant' for classical interpolation estimates of Nirenberg and Gagliardo.
Authors:
Publication Date:
Jan 01, 1983
Product Type:
Journal Article
Reference Number:
EDB-83-053871
Resource Relation:
Journal Name: Commun. Math. Phys.; (Germany, Federal Republic of); Journal Volume: 87:4
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCHROEDINGER EQUATION; NONLINEAR PROBLEMS; ANALYTICAL SOLUTION; GROUND STATES; INTERPOLATION; MANY-DIMENSIONAL CALCULATIONS; STEADY-STATE CONDITIONS; VARIATIONAL METHODS; DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS; 657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
OSTI ID:
6485038
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: CMPHA
Submitting Site:
HEDB
Size:
Pages: 567-576
Announcement Date:
Feb 01, 1983

Citation Formats

Weinstein, M I. Nonlinear Schroedinger equations and sharp interpolation estimates. Germany: N. p., 1983. Web.
Weinstein, M I. Nonlinear Schroedinger equations and sharp interpolation estimates. Germany.
Weinstein, M I. 1983. "Nonlinear Schroedinger equations and sharp interpolation estimates." Germany.
@misc{etde_6485038,
title = {Nonlinear Schroedinger equations and sharp interpolation estimates}
author = {Weinstein, M I}
abstractNote = {A sharp sufficient condition for global existence is obtained for the nonlinear Schroedinger equation. This condition is in terms of an exact stationary solution (nonlinear ground state) of (NLS). It is derived by solving a variational problem to obtain the 'best constant' for classical interpolation estimates of Nirenberg and Gagliardo.}
journal = []
volume = {87:4}
journal type = {AC}
place = {Germany}
year = {1983}
month = {Jan}
}