Remark on the adiabatic limit of quantum Zakharov system

DOI10.1007/S40840-022-01272-6zbMath1504.35416OpenAlexW4220963071MaRDI QIDQ2147610

Brian Choi

Publication date: 20 June 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01272-6

zbMATH Keywords

well-posednessadiabatic limitquantum Zakharov systemNLS

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• A bilinear estimate with applications to the KdV equation
• Quadratic forms for the 1-D semilinear Schrödinger equation
• The nonlinear Schrödinger limit and the initial layer of the Zakharov equations

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