Remarks on proofs of conservation laws for nonlinear Schrödinger equations

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

Conservation laws of the charge and of the energy are proved for nonlinear Schrödinger equations with nonlinearities of gauge invariance in a way independent of approximate solutions.

Original languageEnglish
Pages (from-to)403-408
Number of pages6
JournalCalculus of Variations and Partial Differential Equations
Volume25
Issue number3
DOIs
Publication statusPublished - 2006 Mar
Externally publishedYes

Fingerprint

Gauge Invariance
Control nonlinearities
Invariance
Nonlinear equations
Conservation Laws
Gages
Conservation
Nonlinear Equations
Approximate Solution
Charge
Nonlinearity
Energy

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

Remarks on proofs of conservation laws for nonlinear Schrödinger equations. / Ozawa, Tohru.

In: Calculus of Variations and Partial Differential Equations, Vol. 25, No. 3, 03.2006, p. 403-408.

Research output: Contribution to journalArticle

@article{e12a1be6f943463980a88107b754822d,
title = "Remarks on proofs of conservation laws for nonlinear Schr{\"o}dinger equations",
abstract = "Conservation laws of the charge and of the energy are proved for nonlinear Schr{\"o}dinger equations with nonlinearities of gauge invariance in a way independent of approximate solutions.",
author = "Tohru Ozawa",
year = "2006",
month = "3",
doi = "10.1007/s00526-005-0349-2",
language = "English",
volume = "25",
pages = "403--408",
journal = "Calculus of Variations and Partial Differential Equations",
issn = "0944-2669",
publisher = "Springer New York",
number = "3",

}

TY - JOUR

T1 - Remarks on proofs of conservation laws for nonlinear Schrödinger equations

AU - Ozawa, Tohru

PY - 2006/3

Y1 - 2006/3

N2 - Conservation laws of the charge and of the energy are proved for nonlinear Schrödinger equations with nonlinearities of gauge invariance in a way independent of approximate solutions.

AB - Conservation laws of the charge and of the energy are proved for nonlinear Schrödinger equations with nonlinearities of gauge invariance in a way independent of approximate solutions.

UR - http://www.scopus.com/inward/record.url?scp=33644556142&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644556142&partnerID=8YFLogxK

U2 - 10.1007/s00526-005-0349-2

DO - 10.1007/s00526-005-0349-2

M3 - Article

AN - SCOPUS:33644556142

VL - 25

SP - 403

EP - 408

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

SN - 0944-2669

IS - 3

ER -