The Yamabe flow on incomplete manifolds [PDF]
Journal of Evolution Equations, 2017 This article is concerned with developing an analytic theory for second order nonlinear parabolic equations on singular manifolds. Existence and uniqueness of solutions in an Lp-framework is established by maximal regularity tools.
Shao, Yuanzhen
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Combinatorial Yamabe Flow on Surfaces [PDF]
Communications in Contemporary Mathematics, 2003 In this paper we develop an approach to conformal geometry of piecewise flat metrics on manifolds. In particular, we formulate the combinatorial Yamabe problem for piecewise flat metrics. In the case of surfaces, we define the combinatorial Yamabe flow on the space of all piecewise flat metrics associated to a triangulated surface.
Feng Luo
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A Maximum Principle for Combinatorial Yamabe Flow [PDF]
Topology, 2002 20 pages, this is an almost entirely different paper.
David Glickenstein
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On the Chern–Yamabe Flow [PDF]
The Journal of Geometric Analysis, 2017 12 ...
Mehdi Lejmi, Ali Maalaoui
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A clinical model for highly accurate prediction of blood glucose depression after continuous intravenous insulin therapy in hyperglycemic emergencies, a multicenter retrospective cohort study. [PDF]
J Diabetes InvestigThis study developed a clinical model using a gradient boosting decision tree (GBDT) to predict blood glucose reduction (ΔGlu) after continuous intravenous insulin therapy in hyperglycemic emergencies. A multicenter retrospective cohort analysis identified key predictive factors, including initial blood glucose, bicarbonate concentration, insulin flow ...
Iwamoto Y +18 more
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Inflammatory Markers in Combination With Multiple Patterns of Extrarenal Extension Accurately Indicate Recurrence Risk in Patients With pT3aN0M0 Clear Cell Renal Cell Carcinoma. [PDF]
Cancer Rep (Hoboken)ABSTRACT Background and Aims A clear understanding of the risk of clear cell renal cell carcinoma (ccRCC) recurrence in individual patients is essential for appropriate administration of adjuvant therapy. Notably, non‐metastatic pT3a ccRCCs are heterogeneous, and affected patients will have a different prognosis depending on the pathological definition.
Uetani M +8 more
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Long time existence of Yamabe flow on singular spaces with positive Yamabe constant [PDF]
Analysis & PDE, 2023 In this work we establish long-time existence of the normalized Yamabe flow with positive Yamabe constant on a class of manifolds that includes spaces with incomplete cone-edge singularities. We formulate our results axiomatically, so that our results extend to general stratified spaces as well, provided certain parabolic Schauder estimates hold.
Jørgen Olsen Lye, Boris Vertman
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The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant [PDF]
Journal of Functional Analysis, 2022 We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant $Y\leq 0$. Previous work by the second and third named authors \cite{ChenWang} showed that while the Yamabe flow always converges in a global weighted sense when $Y>0$, the flow must diverge when $Y\leq 0$.
Gilles Carron, 王怡
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Incomplete Yamabe flows and removable singularities [PDF]
Journal of Functional Analysis, 2020 We study the Yamabe flow on a Riemannian manifold of dimension $m\geq3$ minus a closed submanifold of dimension $n$ and prove that there exists an instantaneously complete solution if and only if $n>\frac{m-2}{2}$. In the remaining cases $0\leq n\leq\frac{m-2}{2}$ including the borderline case, we show that the removability of the $n$-dimensional ...
Mario B. Schulz
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Properties of Measurements of Patient-Reported Outcome Measures Physical Activity Assessment in Chronic Kidney Disease: A Systematic Review. [PDF]
Physiother Res IntABSTRACT Background and Purpose The assessment of physical activity (PA) using Patient‐Reported Outcome Measures (PROMs) is routine due to its easy applicability and low cost. In the context of CKD, there are several studies that evaluate PA through PROM, but there is heterogeneity in the choice of tool.
Stella TC +4 more
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