3 problems

Let $a,b>0$ with $ab<1$. Let $\a0\Omega_{a,b}$ be the function defined in equation … with initial data $u_0$. Write … If $u_0\in E^1(a,b)$, then the generalized Gaussian decay conje…

For $N\in\mathbb N^*$, let $\mathfrak A_N^{har}$ be the isotropic harmonic-oscillator array, let $\lambda_k^{har}$ denote its $k$-th eigenvalue, and let $m(k,\mathfrak A)$ denote t…

Spectral-bound conjecture. For sufficiently small $\epsilon>0$,