Sharp thresholds of blowup and uniform bound for a Schrödinger system with second-order derivative-type and combined power-type nonlinearities
DOI10.1111/sapm.12687zbMATH Open1547.3563MaRDI QIDQ6590509
Publication date: 21 August 2024
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
sharp thresholdsSchrödinger systemground-state solutioncombined power-type nonlinearitysecond-order nonlinear derivative
Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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