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APDE seminar@UPV/EHU: Low regularity well-posedness of nonlocal dispersive perturbations of Burger's equation

Seminar / Talk / Presentation to Academia
Speakers: Didier Pilot
Abstract We show that the Cauchy problem associated with a class of dispersive perturbations of Burgers’ equations is locally well-posed. This class includes the low-dispersion Benjamin–Ono equation, also known as the low-dispersion fractional KdV equatio
Abstract We show that the Cauchy problem associated with a class of dispersive perturbations of Burgers’ equations is locally well-posed. This class includes the low-dispersion Benjamin–Ono equation, also known as the low-dispersion fractional KdV equation: ∂ₜu − Dₓ^α ∂ₓu = ∂ₓ²(u).