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math.AP2018
Nondegenerate Motion of Singular Points in Obstacle Problems with Varying Data
Niles Armstrong, Ivan Blank
Recent work by Serfaty and Serra give a formula for the velocity of the free boundary of the obstacle problem at regular points [Serfaty-Serra 2018], and much older work by King, L…
math.AP2018
Properties of Mean Value Sets: Angle Conditions, Blowup Solutions, and Nonconvexity
Niles Armstrong
We study the mean values sets of the second order divergence form elliptic operator with principal coefficients defined as $$a^{ij}_k(x):= \begin{cases} α_k δ^{ij}(x) &x_n>0 β_k δ^…