Skip to search formSkip to main contentSkip to account menuSemantic Scholar Semantic Scholar's Logo Search 207,842,419 papers from all fields of science

Search

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…