4 problems

Trend-to-equilibrium conjecture. The entropy $H[f(t)]$ decreases to its minimum, zero, as $t\to\infty$, and the solution converges to equilibrium, $f(t)\to f_{\infty}$, as…

Regularity-extension conjecture. These regularity results can be extended to general Kolmogorov–Fokker–Planck operators with similar underlying geometric structures.

Fractional diffusive controllability conjecture. The uniform approximate null-controllability result of Theorem $19112021T1$ should extend to this class of fractional diffusive equ…

The conjectured first-order heat-kernel approximation. If $c$ is three times continuously differentiable and…