4 problems

Let $\mathcal{A}$ be a $*$-algebra equipped with the inner product appearing in the proposition, and consider the four identities listed there, ordered from Part 1 through Part 4.…

Let $S_T=[0,T]\times\mathbb{R}$ and let $\varphi_\infty$ be the quantum analytic continuation potential for the Cauchy data $(\omega_{\varphi_0},\dot{\varphi}_0)$. Define…

Let $M$ be a projective Kähler manifold with Kähler form $\omega$, and let $(\omega_{\varphi_0},\dot{\varphi}_0)$ be Cauchy data for the geodesic initial value problem in…

The Cauchy problem for the homogeneous complex Monge–Ampère equation is posed on a strip $S_T=[0,T]\times\mathbb{R}$ and a projective Kähler manifold $M$ with Kähler form $\omega$.…