We establish the optimal regularity (of class W 2∞ ) of a solution to the two-phase obstacle problem
with a nonhomogeneous Dirichlet condition in a bounded domain Ω ⊂ ℝn with smooth boundary ∂Ω. Bibliography: 10 titles.
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Translated from Problemy Matematicheskogo Analiza, No. 34, 2006, pp. 3–11.
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Apushkinskaya, D.E., Uraltseva, N.N. Boundary estimates for solutions of two-phase obstacle problems. J Math Sci 142, 1723–1732 (2007). https://doi.org/10.1007/s10958-007-0083-8
- Free Boundary
- Obstacle Problem
- Boundary Estimate
- Homogenous Dirichlet Boundary Condition
- Optimal Regularity