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Christian Rose
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Year
Li–Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class
C Rose
Annals of Global Analysis and Geometry 55 (3), 443-449, 2019
332019
The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature
C Rose, P Stollmann
Proceedings of the American Mathematical Society 145 (5), 2199-2210, 2017
252017
Heat kernel upper bound on Riemannian manifolds with locally uniform Ricci curvature integral bounds
C Rose
The Journal of Geometric Analysis 27 (2), 1737-1750, 2017
212017
Geometric and spectral estimates based on spectral Ricci curvature assumptions
G Carron, C Rose
https://arxiv.org/pdf/1808.06965.pdf, 2018
192018
Spectrally positive Bakry-Émery Ricci curvature on graphs
F Münch, C Rose
Journal de Mathématiques Pures et Appliquées 143, 334-344, 2020
152020
Distance bounds for graphs with some negative Bakry-Émery curvature
S Liu, F Münch, N Peyerimhoff, C Rose
Analysis and Geometry in Metric Spaces 7 (1), 1-14, 2019
152019
A quantitative Carleman estimate for second-order elliptic operators
I Nakić, C Rose, M Tautenhahn
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (4 …, 2019
102019
Liouville property and non-negative Ollivier curvature on graphs
J Jost, F Münch, C Rose
arXiv preprint arXiv:1903.10796, 2019
102019
Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications
C Rose, P Stollmann
arXiv preprint arXiv: 1804.04094, 2018
102018
Heat kernel estimates based on Ricci curvature integral bounds
C Rose
92017
Almost positive Ricci curvature in Kato sense--an extension of Myers' theorem
C Rose
arXiv preprint arXiv:1907.07440, 2019
72019
Integral Ricci curvature and the mass gap of Dirichlet Laplacians on domains
X Ramos Olivé, C Rose, L Wang, G Wei
Mathematische Nachrichten 296 (8), 3559-3578, 2023
52023
Eigenvalue estimates for Kato-type Ricci curvature conditions
C Rose, G Wei
Analysis & PDE 15 (7), 1703-1724, 2022
52022
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
A Dicke, C Rose, A Seelmann, M Tautenhahn
arXiv preprint arXiv:2011.01801, 2020
42020
Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions
O Post, X Ramos Olivé, C Rose
https://arxiv.org/abs/2007.04120, 2020
32020
Multiscale unique continuation properties of eigenfunctions
D Borisov, I Nakić, C Rose, M Tautenhahn, I Veselić
Operator semigroups meet complex analysis, harmonic analysis and …, 2015
22015
Unique continuation estimates on manifolds with Ricci curvature bounded below
C Rose, M Tautenhahn
Journal of Mathematical Physics 65 (4), 2024
12024
Bounds on the First Betti Number: An Approach via Schatten Norm Estimates on Semigroup Differences
M Hansmann, C Rose, P Stollmann
The Journal of Geometric Analysis 32 (4), 115, 2022
1*2022
Integral Ricci curvature and the mass gap of Di-richlet Laplacians on domains (vol 8, pg 3559, 2023)
XR Olive, C Rose, L Wang, G Wei
MATHEMATISCHE NACHRICHTEN 297 (1), 414-414, 2024
2024
Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees
M Keller, C Rose
Calculus of Variations and Partial Differential Equations 63 (1), 20, 2024
2024
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Articles 1–20