Now showing items 129-148 of 208

• #### Partial regularity and smooth topology-preserving approximations of rough domains ﻿

(2017-01-01)
For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studied of fields of `good directions', that is the directions with respect to which $\partial\Omega$ can be locally represented ...
• #### Pointwise Convergence over Fractals for Dispersive Equations with Homogeneous Symbol ﻿

(2021-08-24)
We study the problem of pointwise convergence for equations of the type $i\hbar\partial_tu + P(D)u = 0$, where the symbol $P$ is real, homogeneous and non-singular. We prove that for initial data $f\in H^s(\mathbb{R}^n)$ ...

(2018-09)