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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
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…