Short Time Behavior of Solutions to Nonlinear Schrödinger Equations in One and Two Space Dimensions

DOI10.1080/03605300500361537zbMath1106.35104OpenAlexW2010160456MaRDI QIDQ5478776

Michael E. Taylor

Publication date: 13 July 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300500361537

zbMATH Keywords

Gibbs phenomenonPinsky phenomenon

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Gibbs Phenomenon for Dispersive PDEs on the Line ⋮ Global existence for some radial, low regularity nonlinear Schrödinger equations ⋮ Evolution partial differential equations with discontinuous data

Cites Work

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• Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
• The Gibbs phenomenon for multiple Fourier integrals
• Pointwise Fourier inversion: A wave equation approach
• Pointwise fourier inversion and related eigenfunction expansions
• THE GIBBS PHENOMENON, THE PINSKY PHENOMENON, AND VARIANTS FOR EIGENFUNCTION EXPANSIONS

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