2 problems

Let $k,l$ be positive integers, let $\sigma$ and $\tau$ be real parameters, and let $W_2^{\alpha,\beta}(\mathbb{R}^2)$ denote the anisotropic Sobolev space appearing in the quadrat…

Saut–Tzvzetkov's $L^2$-data conjecture. The IVP is globally well-posed for such initial data $\phi$. This conjecture asks whether the global well-posedness known for the analogous…