Complex-valued solutions of the Benjamin-Ono equation

Details Complex-valued solutions of the Benjamin-Ono equation Complex-valued solutions of the Benjamin-Ono equation

2006-05-08

arxiv.org/abs/math/0605158v1

Mathematics

Analysis of PDEs

Scientific paper

We prove that the Benjamin-Ono initial-value problem is locally well-posed
for small, complex-valued data in Sobolev spaces with special low-frequency
structure.

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