Complex-valued Solutions of the Benjamin–ono Equation

نویسندگان

  • ALEXANDRU D. IONESCU
  • CARLOS E. KENIG
چکیده

We prove that the Benjamin–Ono initial-value problem is locally well-posed for small data in the Banach spaces H̃σ(R), σ ≥ 0, of complex-valued Sobolev functions with special low-frequency structure.

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تاریخ انتشار 2006