Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics. Advance publication of articles online is available.

Learn about DMJ's founding and visit DMJ By the Numbers for key facts about this flagship journal.

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Conserved energies for the cubic nonlinear Schrödinger equation in one dimensionHerbert Koch and Daniel TataruVolume 167, Number 17 (2018)
Geometric realizations of Wakimoto modules at the critical levelEdward Frenkel and Dennis GaitsgoryVolume 143, Number 1 (2008)
The central limit theorem for dependent random variablesWassily Hoeffding and Herbert RobbinsVolume 15, Number 3 (1948)
Boundary Morera theorems for holomorphic functions of several complex variablesJosip Globevnik and Edgar Lee StoutVolume 64, Number 3 (1991)
Compactification of strata of Abelian differentialsMatt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin MöllerVolume 167, Number 12 (2018)
  • ISSN: 0012-7094 (print), 1547-7398 (electronic)
  • Publisher: Duke University Press
  • Discipline(s): Mathematics
  • Full text available in Euclid: 1935--
  • Access: By subscription only
  • Euclid URL: https://projecteuclid.org/dmj

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MR Citation Database MCQ (2017): 2.45
JCR (2017) Impact Factor: 2.317
JCR (2017) Five-year Impact Factor: 2.539
JCR (2017) Ranking: 10/309 (Mathematics)
Article Influence (2017): 4.452
Eigenfactor: Duke Mathematical Journal
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Featured article

Conserved energies for the cubic nonlinear Schrödinger equation in one dimension

Herbert Koch and Daniel Tataru Volume 167, Number 17 (2018)
Abstract

We consider the cubic nonlinear Schrödinger (NLS) equation as well as the modified Korteweg–de Vries (mKdV) equation in one space dimension. We prove that for each s>12 there exists a conserved energy which is equivalent to the Hs-norm of the solution. For the Korteweg–de Vries (KdV) equation, there is a similar conserved energy for every s1.