Scattering theory for the Schrödinger–Debye system

DOI10.1088/1361-6544/aaba33zbMath1393.35218arXiv1709.03847OpenAlexW3170007303MaRDI QIDQ3176536

Filipe Oliveira, Simão Correia

Publication date: 23 July 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03847

zbMATH Keywords

global existencescattering theorySchrödinger-Debye

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Global solutions for 2D quadratic Schrödinger equations
• A new proof of long-range scattering for critical nonlinear Schrödinger equations.
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• Rapidly decaying solutions of the nonlinear Schrödinger equation
• On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• On the Cauchy problem for some systems occurring in nonlinear optics
• Local and global well-posedness for the critical Schrödinger-Debye system
• On the unboundedness of higher regularity Sobolev norms of solutions for the critical Schrödinger–Debye system with vanishing relaxation delay
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• Scattering Theory for the Hartree Equation
• THE CAUCHY PROBLEM FOR SCHRÖDINGER–DEBYE EQUATIONS

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