Well-posedness of generalized KdV and one-dimensional fourth-order derivative nonlinear Schr\"odinger equations for data with an infinite L2 norm
Abstract
We study the Cauchy problem for the generalized KdV and one-dimensional fourth-order derivative nonlinear Schr\"odinger equations, for which the global well-posedness of solutions with the small rough data in certain scaling limit of modulation spaces is shown, which contain some data with infinite L2 norm.
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