3 problems

Consider the stationary localized planar Swift–Hohenberg equation … for $u=u(x)$ with $x\in\mathbb{R}^2$, $\lim_{|x|\to\infty}u(x)=0$, $\mu>0$, and $(\nu_1,\nu_2)\in\mathbb{R}^2$.…

Consider a time-dependent potential that is localized in space. A weakly localized solution (WLS) is a solution with a component exhibiting weak localization, while a localized sol…

For parameters $d$ and $bc$, consider the two-dimensional Nagumo lattice dynamical system … A multi-localized solution is a localized solution with multiple distinct regions of loc…