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Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
Felipe Linares, Didier Pilod, Jean-Claude Saut
Source abstract
The aim of this paper is to show how a weakly dispersive perturbation of the inviscid Burgers equation improves (enlarges) the space of resolution of the local Cauchy problem. More generally we will review several problems arising from weak dispersive perturbations of nonlinear hyperbolic equations or systems.
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