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Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori

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Publication:6652129
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DOI10.1016/j.jde.2024.09.044MaRDI QIDQ6652129

Filippo Giuliani

Publication date: 12 December 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)



zbMATH Keywords

nonlinear Schrödinger equation


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) PDEs on manifolds (35R01)








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