Oseen resolvent estimates with small resolvent parameter
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.02.033
Abstract: Abstract We consider the Oseen system with resolvent term in an exterior domain in R 3 , supplemented by homogeneous Dirichlet boundary conditions. Under the assumption that the resolvent parameter λ is close to zero… read more here.
Keywords: oseen resolvent; estimates small; resolvent parameter; resolvent estimates ... See more keywords
Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.108350
Abstract: We study the uniform resolvent estimates for the Schrodinger operator with a Hardy-type singular potential. Let $\mathcal{L}_V=-\Delta+V(x)$ where $\Delta$ is the usual Laplacian on $\mathbb{R}^n$ and $V(x)=V_0(\theta) r^{-2}$ where $r=|x|, \theta=x/|x|$ and $V_0(\theta)\in\mathcal{C}^1(\mathbb{S}^{n-1})$ is a… read more here.
Keywords: operator; uniform resolvent; theta theta; resolvent estimates ... See more keywords