4 problems

Asymptotic velocity conjecture. For every $j$, the limit

Logarithmic grow-up conjecture. In the critical case $\sigma=-2$, solutions to Eq. (1) exhibit logarithmic grow-up as $t\to\infty$.

Let $u$ be a solution of the generalized Korteweg–de Vries initial-value problem referenced in the source, with nonlinearity exponent $k\in[1,2]$. Rammaha's conjecture. Such soluti…

Let $\mathcal{U}$ be an Ulam set with two generators, and suppose its associated lattice is nonzero. Each $u\in\mathcal{U}$ has a canonical contribution vector…