On damped non-linear Choquard equations

DOI10.1007/S40590-021-00359-7zbMath1475.35318OpenAlexW3164073634MaRDI QIDQ2048394

Binhua Feng, Tarek Saanouni

Publication date: 5 August 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00359-7

zbMATH Keywords

dampingblow-upglobal existenceChoquard 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Global existence and scattering for nonlinear Schrödinger equations with time-dependent damping

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Cauchy problem for the Schrödinger-Hartree equation
• Blow-up for the damped \(L^2\)-critical nonlinear Schrödinger equation
• On the \(L^2\)-critical nonlinear Schrödinger equation with a nonlinear damping
• On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain
• Remarks on the damped nonlinear Schrödinger equation
• Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces
• Remarks on global existence and blowup for damped nonlinear Schrödinger equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Global well-posedness for the Gross-Pitaevskii equation with pumping and nonlinear damping
• Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation
• Some remarks on the nonlinear Schrödinger equation with fractional dissipation
• Global Well-Posedness for Cubic NLS with Nonlinear Damping
• Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
• Remarks on strongly elliptic partial differential equations
• On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient
• On Nonlinear Schrödinger-Type Equations with Nonlinear Damping
• Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D
• Global well-posedness of a damped Schrödinger equation in two space dimensions

This page was built for publication: On damped non-linear Choquard equations