We show that the classical solution of the heat equation can be seen as the minimizer of a suitable functional defined in space-time. Using similar ideas, we introduce a functional F on the class of space-time tracks of moving hypersurfaces, and we study suitable minimization problems related with F. We show some connections between minimizers of F and mean curvature flow
We study evolution curves of variational type, called minimizing movements, obtained via a time disc...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
We consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a w...
We show that the classical solution of the heat equation can be seen as the minimizer of a suitable ...
We show that the classical solution of the heat equation can be seen as the minimizer of a suitable ...
The generalised minimizing movement (GMM), a generalisation of the mean curvature flow proposed by E...
We prove the existence of a weak global in time mean curvature flow of a bounded partition of spa...
We propose in this paper a new algorithm for computing the evolution by mean curvature of a hypersur...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
A geometric evolution equation is a partial differential equation that evolves some kind of geometri...
In this note we report on a new variational principle for Gradient Flows in metric spaces. This new ...
We present a global variational approach to the L2-gradient flow of the area functional of cartesian...
In this thesis we study the possible solutions of the mean curvature flow problem restricted to hyp...
In this paper we consider a hypersurface of the graph of the mean curvature flow with transport term...
"Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose norma...
We study evolution curves of variational type, called minimizing movements, obtained via a time disc...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
We consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a w...
We show that the classical solution of the heat equation can be seen as the minimizer of a suitable ...
We show that the classical solution of the heat equation can be seen as the minimizer of a suitable ...
The generalised minimizing movement (GMM), a generalisation of the mean curvature flow proposed by E...
We prove the existence of a weak global in time mean curvature flow of a bounded partition of spa...
We propose in this paper a new algorithm for computing the evolution by mean curvature of a hypersur...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
A geometric evolution equation is a partial differential equation that evolves some kind of geometri...
In this note we report on a new variational principle for Gradient Flows in metric spaces. This new ...
We present a global variational approach to the L2-gradient flow of the area functional of cartesian...
In this thesis we study the possible solutions of the mean curvature flow problem restricted to hyp...
In this paper we consider a hypersurface of the graph of the mean curvature flow with transport term...
"Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose norma...
We study evolution curves of variational type, called minimizing movements, obtained via a time disc...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
We consider the evolution of fronts by mean curvature in the presence of obstacles. We construct a w...