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math.AP2020★ 2 cited
A Reverse Isoperimetric Inequality and its Application to the Gradient Flow of the Helfrich Functional
Simon Blatt
We prove a quantitative reverse isoperimetric inequality for embedded surfaces with Willmore energy bounded away from . We use this result to analyze the negative gradien…
math.AP2020★ 1 cited
Analyticity for Solution of Integro-Differential Operators
Simon Blatt
We prove that for a certain class of kernels that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x…