12 citations · 38 across the 16 of their papers we have counts for
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math.AP2020★ 1 cited
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
Alexander Dicke, Christian Rose, Albrecht Seelmann +1
Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such as certain -funct…
math.DG2020
Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions
Olaf Post, Xavier Ramos Olivé, Christian Rose
We prove the existence of Sobolev extension operators for certain uniform classes of domains in a Riemannian manifold with an explicit uniform bound on the norm depending only on t…
math.DG2020★ 6 cited
Eigenvalue estimates for Kato-type Ricci curvature conditions
Christian Rose, Guofang Wei
We prove that optimal lower eigenvalue estimates of Zhong-Yang type as well as a Cheng-type upper bound for the first eigenvalue hold on closed manifolds assuming only a Kato condi…