279 citations · 733 across the 42 of their papers we have counts for
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math.AP2009★ 62 cited
A para-differential renormalization technique for nonlinear dispersive equations
Sebastian Herr, Alexandru D. Ionescu, Carlos E. Kenig +1
For α\in (1,2) we prove that the initial-value problem \partial_t u+D^α\partial_x u+\partial_x(u^2/2)=0 on \mathbb{R}_x\times\mathbb{R}_t; u(0)=ϕ, is globally well-posed in the spa…
math.DG2009
Geometric flows with rough initial data
Herbert Koch, Tobias Lamm
We show the existence of a global unique and analytic solution for the mean curvature flow, the surface diffusion flow and the Willmore flow of entire graphs for Lipschitz initial…