On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient

DOI10.1002/MMA.4792zbMath1394.35470OpenAlexW2789478864MaRDI QIDQ4576936

Mohamad Darwich

Publication date: 11 July 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4792

zbMATH Keywords

blow-upglobal existencevariable coefficientsdamped nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

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A Note on a Damped Focusing Inhomogeneous Choquard Equation ⋮ Existence and nonexistence of global solutions for time-dependent damped NLS equations ⋮ Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping ⋮ Remarks on damped Schrödinger equation of Choquard type ⋮ On damped non-linear Choquard equations

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