Jia-Yu Zheng

Unconditional uniqueness for the cubic nonlinear Schr\"odinger equation in $\dot{H}^{\frac12}(\Bbb R^3)$

While unconditional uniqueness for the cubic nonlinear Schr\"odinger equation (NLS) on $\Bbb R^3$ is known in the scaling-subcritical Sobolev spaces $\dot H^s(\Bbb R^3)$ for $1/2<s<1$, the critical case $s=1/2$ has remained open. We resolve this problem by adapting Kato's bootstrap argument to a new choice of auxiliary...