Dispersive Stabilization

Abstract

Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability. This idea applies to systems of quasilinear Schrödinger equations from nonlinear optics.

Cited by in corpus (3)

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• Dispersive regularization for phase transitions
• Nash--Moser iteration and singular perturbations