The Cauchy problem for the Benjamin-Ono equation in L² revisited
Molinet, Luc · Pilod, Didier
Original · EN
In a recent work, Ionescu and Kenig proved that the Cauchy problem associatedto the Benjamin-Ono equation is well-posed in L²(R). In this paper we give a simpler proof of Ionescu and Kenig's result, which moreover provides stronger uniqueness results. In particular, we prove unconditional well-posedness in Hˢ(R), for s>1/4.
English translation
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