Regularizing Nonlinear Schrödinger Equations Through Partial Off-axis Variations

DOI10.1137/17M1131313zbMath1414.35186arXiv1705.05964OpenAlexW2616723673MaRDI QIDQ4610942

Christof Sparber, Paolo Antonelli, Jack Arbunich

Publication date: 23 January 2019

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05964

zbMATH Keywords

dispersionnonlinear Schrödinger equationBBM equationStrichartz estimatesfinite-time blow-uppartial off-axis variation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Lasers, masers, optical bistability, nonlinear optics (78A60) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Dynamics of the black soliton in a regularized nonlinear Schrödinger equation ⋮ On local well-posedness of nonlinear dispersive equations with partially regular data ⋮ On the variational principle for the non-linear Schrödinger equation ⋮ On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

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