7 problems

A discrete DNLS system is a lattice discretization of a derivative nonlinear Schrödinger equation, while a discrete NLS system is a lattice discretization of a nonlinear Schrödinge…

Characteristic-strip criterion. An IVP with initial data given on $P$ is correct if and only if every characteristic (or strip) in $\Gamma$ meets $P$ exactly at one edge.

The discrete Airy equation has an infinite-parameter transseries whose exponential contributions produce accumulations of Stokes and anti-Stokes curves. Generic accumulation conjec…

Let … be one of its reductions. The Laurent-property and zero-entropy conjecture. Reductions of … , possess the Laurent property and have vanishing algebraic entropy. This conjectu…

The extended-exponent conjecture. A similar global well-posedness conclusion should hold for $p>2\sigma+2$.

Let $u(t)$ solve the discrete nonlinear Schrödinger Cauchy problem in $l^p_h$, where $1\leq p\leq +\infty$, and let $h>0$, $d\geq 1$. The sharp $l^p_h$ estimate. A finer estimate s…

Let the lattice variables be $\psi^{(0)},\psi^{(1)},\psi^{(2)}$, and consider the sub-array of vertices on which the values of a single component, say $\psi^{(0)}$, can be calculat…