Some remarks on the nonlinear Schrödinger equation with fractional dissipation

DOI10.1063/1.4965225zbMath1353.35258arXiv1511.08577OpenAlexW2252589305MaRDI QIDQ2832699

Luc Molinet, Mohamad Darwich

Publication date: 14 November 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08577

zbMATH Keywords

nonlinear Schrödinger equationblow-upfractional dissipation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Blow-up in context of PDEs (35B44)

Related Items (6)

Unnamed Item ⋮ A Note on a Damped Focusing Inhomogeneous Choquard Equation ⋮ Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping ⋮ Remarks on damped Schrödinger equation of Choquard type ⋮ Global regularity of the 2D HVBK equations ⋮ On damped non-linear Choquard equations

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