5 problems

Let $G$ be a graph with graph distance $d(i,j)$ between vertices $i$ and $j$, let $L_G$ denote its graph Laplacian, and let $\alpha$ be the fractional exponent. The notation…

Well-posedness conjecture. The well-posedness result proved in the paper for the stated modulation-space setting should hold as well for initial data in $M^{p,q}_s(\mathbb{R}^d)$ w…

Let $A$ be the operator considered in the fractional extension problem, let $T_\alpha$ be the Dirichlet-to-Neumann operator defined through the boundary limit of the solution deriv…

Let $A$ be an operator, let $D=\overline{\mathcal{D}(A)}$, and let $U$ be the solution operator for the differential equation … with initial value $u(0)$. Assume that $-A$ generate…

Characteristic-function conjecture. A minimizing pair reduces to its set component, namely