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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… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
We study the regularity of the regular and of the singular set of the obstacle problem in any dimension. Our approach is related… 
2016
2016
We consider an optimal control problem, whose state is given as the solution of the obstacle problem. The controls are not… 
Highly Cited
2016
Highly Cited
2016
We investigate the obstacle problem for a class of nonlinear equations driven by nonlocal, possibly degenerate, integro… 
Highly Cited
2014
Highly Cited
2014
The repulsion strength at the origin for repulsive/attractive potentials determines the regularity of local minimizers of the… 
Review
2008
Review
2008
In this paper, we study basic properties of the diffusive wave approximation of the shallow water equations (DSW). This equation… 
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 ℝn, (−▵)su ≥ 0 in ℝn… 
Highly Cited
2006
Highly Cited
2006
This paper concerns optimal investment problem of a CRRA investor who faces proportional transaction costs and finite time… 
Highly Cited
2003
Highly Cited
1997
Highly Cited
1997
We study reflected solutions of one-dimensional backward stochastic differential equations. The “reflection” keeps the solution… 
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…