5 problems

Let $R$ denote the reflection coefficient in the unit-disk example, and let $k$ be the spectral parameter with $|k|$ its modulus. The leading terms are obtained from the stationary…

Consider generic rapidly decreasing initial data with a single hump for the focusing semiclassical DS II system, and let $x_c$ and $y_c$ denote the spatial coordinates of gradient-…

Consider rapidly decreasing smooth initial data in $L_{2}(\mathbb{R}^{2})$ with a single maximum, and let $t_c$ be the critical time of the corresponding semiclassical DS II soluti…

Consider rapidly decreasing smooth initial data in $L_{2}(\mathbb{R}^{2})$ with a single maximum. Let the defocusing and focusing variants of the semiclassical DS II equation be th…

Let the focusing Davey–Stewartson II equation be posed with generic localized initial data, and let $t$ denote time. Generic blow-up or radiation conjecture. Generic localized init…