Local Well-Posedness of the Periodic Nonlinear Schrödinger Equation with a Quadratic Nonlinearity [Formula: see text] in Negative Sobolev Spaces
{{output}}
We study low regularity local well-posedness of the nonlinear Schrödinger equation (NLS) with the quadratic nonlinearity u ¯ 2 , posed on one-dimensional and two-dimensional tori. While the relevant bilinear estimate with respect to the X s , b -spac... ...
