3 problems

Let $\tilde{\Delta}:=\frac{1}{2\pi}(\partial_{11}+\alpha\partial_{22})$ on $\mathbb{T}^2$, where $\alpha<0$ is irrational, and let $e^{it\tilde{\Delta}}f$ denote the solution to…

Let $\underline{\omega}=(\omega_1,\omega_2)\in\mathbb{R}_+^2$ and let $\mathbb{T}_{\underline{\omega}}^2=\mathbb{R}/\omega_1\mathbb{Z}\times\mathbb{R}/\omega_2\mathbb{Z}$ be an irr…

Generic Strichartz conjecture. For arbitrarily small $\varepsilon>0$, one has