On the nonlinear Schrödinger equation with a variable damping term

DOI10.1134/S1995080218090378zbMath1412.35303MaRDI QIDQ669530

Mohamad Darwich

Publication date: 15 March 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

blow-upglobal existencedamped 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)

Cites Work

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• Blow-up for the damped \(L^2\)-critical nonlinear Schrödinger equation
• Remarks on global existence and blowup for damped nonlinear Schrödinger equations
• ``Mass concentration phenomenon for the nonlinear Schrödinger equation with the critical power nonlinearity. II
• Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L²-critical case
• On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient

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