Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces.

zbMath1413.35409MaRDI QIDQ1693265

Yoshio Tsutsumi, Tomoyuki Miyaji

Publication date: 9 February 2018

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednessnonuniquenessnonlinear smoothing effect

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (8)

Nonlinear Schrödinger equations with the third order dispersion on modulation spaces ⋮ Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third-order dispersion ⋮ Well-posedness of the Cauchy problem for the kinetic DNLS on T ⋮ Periodic fourth-order cubic NLS: local well-posedness and non-squeezing property ⋮ Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces ⋮ GLOBAL WELL-POSEDNESS OF THE PERIODIC CUBIC FOURTH ORDER NLS IN NEGATIVE SOBOLEV SPACES ⋮ Quasi-invariance of Gaussian measures transported by the cubic NLS with third-order dispersion on \textbf{T} ⋮ Well-posedness issues on the periodic modified Kawahara equation

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