On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term
DOI10.3934/dcdss.2021122zbMath1483.35216OpenAlexW3207277095MaRDI QIDQ2062953
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021122
stabilitywell-posednessblow-upfourth-order Schrödinger equationscattering behaviornonlinear derivative term
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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