Global well-posedness for the cubic fractional NLS on the unit disk

DOI10.1088/1361-6544/AC5154zbMath1490.35454arXiv2011.05517OpenAlexW4220715661MaRDI QIDQ5062140

Xueying Yu, Mouhamadou Sy

Publication date: 15 March 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05517

zbMATH Keywords

global well-posednesscompact manifoldI-methodfractional NLS

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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