3 problems

Let $(H(t),\mathbf x(t))$ be the solution of the quasi-standard system with arbitrary non-vacuum initial data satisfying $\Omega>0$, the Hamiltonian constraint, and $H>0$. Let…

Finite-horizon approximation conjecture. For any $\delta>0$, any compact set $K \subset \mathbb{R}^n$, and any $t_0,T \in \mathbb{R}_{\geq 0}$, there exists…

Let $w_{-}(r)$ and $w_{+}(r)$ be strictly increasing and decreasing functions, respectively, satisfying … Suppose that $w_{-}(\frac{}{\lambda})=w_{+}(\lambda)=w^*$ for some…