Obstacle problem

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

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2015
2015
The article is concerned with the derivation of a posteriori error estimates for optimization problems subject to an obstacle… (More)
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2008
2008
The existence, uniqueness and regularity of solutions are proved for the obstacle problem with semilinear elliptic partial… (More)
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Highly Cited
2007
Highly Cited
2007
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation… (More)
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2007
2007
We prove that the obstacle problem for a non-uniformly parabolic operator of Kolmogorov type, with Cauchy (or Cauchy-Dirichlet… (More)
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2007
2007
  • Zohra Farnana
  • 2007
We study the double obstacle problem on a metric measure space equipped with a doubling measure and supporting a p-Poincar… (More)
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Highly Cited
2005
2004
2004
We consider the following obstacle problem for Monge-Ampere equation det Du = fχ{u>0} and discuss the regularity of the free… (More)
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Highly Cited
2002
Highly Cited
2002
We study reflected solutions of one-dimensional backward stochastic differential equations. The “reflection” keeps the solution… (More)
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1994
1994
We give a relatively complete analysis for the regularization method, which is usually used in solving non-diierentiable… (More)
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1984
1984
The penalty method is used to compute approximations of the solution of the obstacle problem. By coupling the penalty parameter… (More)
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