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math.AP2019★ 9 cited
Global well-posedness for the fifth-order KdV equation in
Bjoern Bringmann, Rowan Killip, Monica Visan
We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in . By comparison, the optimal regularity for we…
math.AP2019★ 30 cited
Invariance of white noise for KdV on the line
Rowan Killip, Jason Murphy, Monica Visan
We consider the Korteweg--de Vries equation with white noise initial data, posed on the whole real line, and prove the almost sure existence of solutions. Moreover, we show that th…