most citedOn ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations

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math.AP2011★ 1 cited

On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations

Kenneth D. T. -R. McLaughlin, Nigel J. E. Pitt

We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be…