Abstract
It is shown that the cubic derivative nonlinear Schrödinger equation is locally well-posed in Besov spaces $B^{s}_{2,\infty}(\mathbb X)$, $s\ge 1/2$, where we treat the non-periodic setting $\mathbb X=\mathbb R$ and the periodic setting $\mathbb X=\mathbb T$ simultaneously. The proof is based on the strategy of Herr for initial data in $H^{s}(\mathbb T)$, $s\ge 1/2$.
Citation
Cai Constantin CLOOS. "Local well-posedness for the derivative nonlinear Schrödinger Equation in Besov Spaces." Hokkaido Math. J. 48 (1) 207 - 244, February 2019. https://doi.org/10.14492/hokmj/1550480650
Information