3 problems

Comparison-principle conjecture. Under these assumptions, the comparison principle of the paper's system comparison theorem extends to solutions in $\mathcal{A}_g^k$. This conjectu…

Generalized convex-growth existence and uniqueness conjecture. Under these assumptions, the system admits a unique solution $u\in\mathcal{A}_g^k$. This conjecture proposes extendin…

Let $v(x,i)$ denote the value function for initial wealth $x$ in regime $i$, and let $\mathcal{S}$ be the set of regimes. Value-function shape conjecture. We conjecture that…