Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation

DOI10.3934/eect.2024019zbMath1547.35613MaRDI QIDQ6595490

Slim Tayachi, Sirine Jbari, Lassaad Aloui

Publication date: 30 August 2024

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

zbMATH Keywords

local existencewell-posednessglobal existenceblow-up ratescattering theorydecaying solutionlife spaninhomogeneous nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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