2 problems

Consider nonlinear Schrödinger equations with nonlinearities of the form $|u|^{p-1}u$, where $p\in 2\mathbb{N}+1$. A regularity is called subcritical relative to the probabilistic…

Let $z_{2k+1}$ denote the $(k+1)$st order term in the higher-order expansion for the cubic nonlinear Schrödinger equation on $\mathbb{R}^3$. The original iterative procedure constr…