Add to ORKGWe investigate the regularity of a free boundary near contact points with a fixed boundary, with C1,1 boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C1 up to the fixed boundary. We will also construct some examples of irregular free boundaries.
Xavier Ros-Oton, ex-estudiant de la FME i doctor en Matemàtiques per la UPC (2014, premi Extraordina...
Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces ...
Abstract. In this paper we study regularity properties of the free boundary problem ∆u = χ{|∇u|6=0} ...
This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on th...
Abstract. We study the regularity of the “free surface ” in boundary obstacle problems. We show that...
We study the regularity of the free boundary, near contact points with the fixed boundary, for a par...
We study the regularity of the free boundary, near contact points with the fixed boundary, for a par...
This thesis consists of four papers which are all related to the regularity properties of free bound...
This thesis consists of four papers which are all related to the regularity properties of free bound...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
Abstract. A parabolic obstacle-type problem without sign re-striction on the solution is considered....
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary ...
Xavier Ros-Oton, ex-estudiant de la FME i doctor en Matemàtiques per la UPC (2014, premi Extraordina...
Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces ...
Abstract. In this paper we study regularity properties of the free boundary problem ∆u = χ{|∇u|6=0} ...
This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on th...
Abstract. We study the regularity of the “free surface ” in boundary obstacle problems. We show that...
We study the regularity of the free boundary, near contact points with the fixed boundary, for a par...
We study the regularity of the free boundary, near contact points with the fixed boundary, for a par...
This thesis consists of four papers which are all related to the regularity properties of free bound...
This thesis consists of four papers which are all related to the regularity properties of free bound...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
The goal of this paper is to establish generic regularity of free boundaries for the obstacle proble...
Abstract. A parabolic obstacle-type problem without sign re-striction on the solution is considered....
[eng] In the thesis we consider higher regularity of the free boundaries in different variations of ...
This thesis consists of three scientific papers, devoted to the regu-larity theory of free boundary ...
Xavier Ros-Oton, ex-estudiant de la FME i doctor en Matemàtiques per la UPC (2014, premi Extraordina...
Free boundary problems are those described by PDE's that exhibit a priori unknown (free) interfaces ...
Abstract. In this paper we study regularity properties of the free boundary problem ∆u = χ{|∇u|6=0} ...