Search results for " Yamabe flow"

showing 1 items of 1 documents

A Quantitative Analysis of Metrics on Rn with Almost Constant Positive Scalar Curvature, with Applications to Fast Diffusion Flows

2017

We prove a quantitative structure theorem for metrics on $\mathbf{R}^n$ that are conformal to the flat metric, have almost constant positive scalar curvature, and cannot concentrate more than one bubble. As an application of our result, we show a quantitative rate of convergence in relative entropy for a fast diffusion equation in $\mathbf{R}^n$ related to the Yamabe flow.

General MathematicsYamabe flow010102 general mathematicsMathematical analysisMetric Geometry (math.MG)01 natural sciencesMathematics - Analysis of PDEsMathematics - Metric Geometry0103 physical sciencesFOS: Mathematics010307 mathematical physics0101 mathematicsDiffusion (business)Constant (mathematics)Quantitative analysis Yamabe flow fast diffusion flowQuantitative analysis (chemistry)Analysis of PDEs (math.AP)MathematicsScalar curvature
researchProduct