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Obstacle problem

The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is… Expand
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Papers overview

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2016
2016
We consider an optimal control problem, whose state is given as the solution of the obstacle problem. The controls are not… Expand
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Highly Cited
2014
Highly Cited
2014
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the… Expand
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2014
2014
We consider the distributed optimal control of the obstacle problem with control constraints. Since Mignot proved in 1976 the… Expand
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2012
2012
We study a quadratic $C^0$ interior penalty method for the displacement obstacle problem of Kirchhoff plates with general… Expand
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Highly Cited
2007
Highly Cited
2007
Given a function ϕ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: • u ≥ ϕ in R n , • (−� ) s u… Expand
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Highly Cited
2005
Highly Cited
2005
  • D. Braess
  • Numerische Mathematik
  • 2005
  • Corpus ID: 43733189
We show that a posteriori estimators for the obstacle problem are easily obtained from the theory for linear equations. The… Expand
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Highly Cited
2004
Highly Cited
2004
Summary.The reliability of frequently applied averaging techniques for a posteriori error control has recently been established… Expand
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Highly Cited
1997
Highly Cited
1997
We study reflected solutions of one-dimensional backward stochastic differential equations. The reflection keeps the solution… Expand
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Highly Cited
1994
Highly Cited
1994
We consider a parabolic double obstacle problem which is a version of the Allen-Cahn equation ut = Δu — ϵ-2ψ'(u) in Ω x (0… Expand
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1986
1986
On demontre des resultats de convergence en mesure et en distance pour des frontieres libres approchees, sous la seule hypothese… Expand
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