Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation
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Publication:729957
DOI10.1016/j.jde.2016.11.002zbMath1358.35164OpenAlexW2553552532MaRDI QIDQ729957
Marcelo Moreira Cavalcanti, Valéria Neves Domingos Cavalcanti, Louis Roder Tcheugoué Tébou, Wellington José Corrêa
Publication date: 22 December 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2016.11.002
Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Remarks on the damped nonlinear Schrödinger equation, Well-posedness and stability for Schrödinger equations with infinite memory, Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains, Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping, Exponential stability for the nonlinear Schrödinger equation with locally distributed damping, Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces, Exponential stability of the nonlinear Schrödinger equation with locally distributed damping on compact Riemannian manifold, Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation
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