# Degree-independent Sobolev extension on locally uniform domains

by Luke G. Rogers

We consider the problem of constructing extensions $$L^{p}_{k}(\Omega)\rightarrow L^{p}_{k}(\mathbb{R}^{n})$$, where $$L^{p}_{k}$$ is the Sobolev space of functions with $$k$$ derivatives in $$L^{p}$$ and $$\Omega\subset\mathbb{R}^{n}$$ is a domain. Continue reading