Well-posed Solutions of the Third Order Benjamin–Ono Equation in Weighted Sobolev Spaces
نویسنده
چکیده
Here we continue the study of the initial value problem for the third order Benjamin-Ono equation in the weighted Sobolev spaces Hs γ = H s⋂L2γ , where s > 3, γ ≥ 0. The result is the proof of well-posedness of the afore mentioned problem in Hs γ , s > 3, γ ∈ [0, 1]. The proof involves the use of parabolic regularization, the Riesz-Thorin interpolation theorem and the construction technique of auxiliary functions.
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