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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

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
This paper is interested in the problem of optimal stopping in a mean field game context. The notion of mixed solution is… Expand
2016
2016
We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly degenerate, integro… Expand
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
2014
2014
We consider the distributed optimal control of the obstacle problem with control constraints. Since Mignot proved in 1976 the… Expand
2013
2013
Abstract We study a Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal… Expand
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Highly Cited
2009
Highly Cited
2009
This paper concerns optimal investment problem of a CRRA investor who faces proportional transaction costs and finite time… Expand
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
Highly Cited
1997
Highly Cited
1997
We study reflected solutions of one-dimensional backward stochastic differential equations. The “reflection” keeps the solution… Expand
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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