Classical solutions of the korteweg—devries equation for non—smooth initial data via inverse scattering*

DOI10.1080/03605308508820371zbMath0562.35085OpenAlexW1999843133MaRDI QIDQ3674893

Robert L. Sachs

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/03605308508820371

zbMATH Keywords

Cauchy problemSchrödinger equationKdV equationclassical solutionsinverse scattering methodnon-smooth initial dataDeift- Trubowitz method

Mathematics Subject Classification ID

Related Items (10)

Solutions of the Korteweg-de Vries equation with steplike initial data ⋮ Solutions to the korteweg - devries equation with irregular initial profile ⋮ On the forced nonlinear Schrödinger equation ⋮ Some remarks on forced kdv ⋮ Strong regularizing effect of integrable systems ⋮ A bilinear estimate with applications to the KdV equation ⋮ Linear dispersive equations of Airy type ⋮ The initial-value problem for the forced Korteweg-de Vries equation ⋮ Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane ⋮ A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane

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• On the generalized Korteweg-deVries equation
• The decay of the continuous spectrum for solutions of the Korteweg-deVries equation

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