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math.AP2024

Local well-posedness for dispersion generalized Benjamin-Ono equations in Fourier-Lebesgue spaces

Zijun Chen

We prove that the Cauchy problem for the dispersion generalized Benjamin-Ono equation where \begin{eqnarray*} \left\{ \begin{array}{l} \partial_t u+|\partial_x|^{1+α}\p…