Remarks on the damped nonlinear Schrödinger equation

DOI10.3934/eect.2020030zbMath1452.35194OpenAlexW2994623739MaRDI QIDQ827648

Tarek Saanouni

Publication date: 13 January 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020030

zbMATH Keywords

dampingscatteringnonlinear Schrödinger equationglobal existence

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Local well-posedness of a critical inhomogeneous bi-harmonic Schrödinger equation ⋮ Existence and nonexistence of global solutions for time-dependent damped NLS equations ⋮ Local well‐posedness of a critical inhomogeneous Schrödinger equation ⋮ On damped non-linear Choquard equations ⋮ Asymptotics for a class of bi-harmonic coupled Schrödinger equations

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