This paper is devoted to regularity results and geometric properties of the singular set of the parabolic obstacle problem with variable right-hand side. Making use of a monotonicity formula for singular points, we prove the uniqueness of blow-up limits at singular points. These results apply to parabolic obstacle problem with variable coefficients.ou
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
A class of parabolic variational inequalities with zero obstacle inside the domain is considered. Fo...
AbstractThis paper is devoted to regularity results and geometric properties of the singular set of ...
We construct two new one-parameter families of monotonicity formulas to study the free boundary poin...
We study the singular set in the thin obstacle problem for degenerate parabolic equations with weigh...
Obstacle identification problems for parabolic equations and systems are considered. Unique continua...
We show that the singular set Σ in the classical obstacle problem can be locally covered by a C∞ hyp...
Mélanges Haim BrezisCette note est consacrée à la continuité de la dérivée en temps de la solution d...
The following paper is devoted to the study of the positivity set $U=\{\mathcal{L}\phi>0\}$ arisi...
This paper is devoted to the existence, the optimal regularity of solutions, and the regularity of t...
We consider the obstacle problem for the parabolic biharmonic equation. We study the problem via an ...
In this paper we propose a new technique for the stability analysis of the coincidence set of a solu...
First, a regularity property for global solutions of some superlinear parabolic problems is establis...
Abstract: We give a relatively complete analysis of the penalty methods for one-sided parabolic prob...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
A class of parabolic variational inequalities with zero obstacle inside the domain is considered. Fo...
AbstractThis paper is devoted to regularity results and geometric properties of the singular set of ...
We construct two new one-parameter families of monotonicity formulas to study the free boundary poin...
We study the singular set in the thin obstacle problem for degenerate parabolic equations with weigh...
Obstacle identification problems for parabolic equations and systems are considered. Unique continua...
We show that the singular set Σ in the classical obstacle problem can be locally covered by a C∞ hyp...
Mélanges Haim BrezisCette note est consacrée à la continuité de la dérivée en temps de la solution d...
The following paper is devoted to the study of the positivity set $U=\{\mathcal{L}\phi>0\}$ arisi...
This paper is devoted to the existence, the optimal regularity of solutions, and the regularity of t...
We consider the obstacle problem for the parabolic biharmonic equation. We study the problem via an ...
In this paper we propose a new technique for the stability analysis of the coincidence set of a solu...
First, a regularity property for global solutions of some superlinear parabolic problems is establis...
Abstract: We give a relatively complete analysis of the penalty methods for one-sided parabolic prob...
We consider various versions of the obstacle and thin-obstacle problems, we interpret them as variat...
A conforming finite element method is proposed and analyzed for numerical approximation of the solut...
A class of parabolic variational inequalities with zero obstacle inside the domain is considered. Fo...
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