3 papers
math.AP2019
A Uniqueness Theorem for Mean Value Sets for Elliptic Divergence Form Operators
Niles Armstrong, Ivan Blank
We give background which shows the connection between the mean value theorem and the obstacle problem, and then we prove that a set is a mean value set for an elliptic operator of…
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
Perturbed Obstacle Problems in Lipschitz Domains: Linear Stability and Non-degeneracy in Measure
Ivan Blank, Jeremy LeCrone
We consider the classical obstacle problem on bounded, connected Lipschitz domains . We derive quantitative bounds on the changes to contact sets under gene…