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math.AP2014★ 9 cited
Higher regularity of the free boundary in the elliptic Signorini problem
Herbert Koch, Arshak Petrosyan, Wenhui Shi
In this paper we study the higher regularity of the free boundary for the elliptic Signorini problem. By using a partial hodograph-Legendre transformation we show that the regular…
math.AP2014★ 6 cited
Parabolic Boundary Harnack Principles in Domains with Thin Lipschitz Complement
Arshak Petrosyan, Wenhui shi
We prove forward and backward parabolic boundary Harnack principles for nonnegative solutions of the heat equation in the complements of thin parabolic Lipschitz sets given as subg…