3 problems

Armstrong–Vicol conjecture. Using their approach together with large-scale regularity techniques from quantitative homogenization theory, one can reach $C^0_tC^\frac{1-\beta}{2}_x$…

Quantitative Green's-function convergence conjecture. There exists a positive constant $C<\infty$, depending on $d$, $\mathfrak{p}$, $\lambda$ and $s$, such that for every $t>0$ an…

Theorem concerns the decay, as $\varepsilon\to0$, of the error between the averaged solution and the solution of the homogenized parabolic equation in spatial dimension $d$. Optima…