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On the continuity and regularity of convex extensions
continuity regularity of convex extensions
2011/2/28
We study continuity and regularity of convex extensions of functions from a compact set C to its convex hull K = co(C). We show that if C contains the relative boundary of K, and f is a continuous con...
Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds
Continuity of Extremal Transitions Flops Calabi-Yau Manifolds
2011/1/21
In this paper, we study the behavior of Ricci-flat K¨ahler metrics on Calabi-Yau manifolds under algebraic geometric surgeries: extremal transitions or flops. We prove a version of Candelas and de la ...
H¨older Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Navier-Stokes equations H¨older continuity singular forcing.
2014/4/3
We discuss the regularity of solutions of 2D incompressible NavierStokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes...