We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose boundary consists in a prescribed number of concentric spheres. We prove that all these solutions, except from the ball, are dynamically unstable
none3siWe consider the volume-preserving geometric evolution of the boundary of a set under fraction...
We prove that the volume preserving fractional mean curvature flow starting from a convex set does n...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose...
In this paper we consider the evolution of boundaries of sets by a fractional mean curvature flow. W...
Thesis (Ph.D.)--University of Washington, 2014We construct new examples of self-shrinking solutions ...
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
Author Manuscript August 26, 2009It has long been conjectured that starting at a generic smooth clos...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
This doctoral dissertation aims to generalize the uniqueness and existence results of self-shrinkers...
Partially supported by the Grant No. MTM2017-89677-P, MINECO/AEI/FEDER, UE.In Euclidean space, we in...
This dissertation concerns the mean curvature flow, a geometric evolution equation for submanifolds,...
In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's cla...
none3siWe consider the volume-preserving geometric evolution of the boundary of a set under fraction...
We prove that the volume preserving fractional mean curvature flow starting from a convex set does n...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
We show existence of homothetically shrinking solutions of the fractional mean curvature flow, whose...
In this paper we consider the evolution of boundaries of sets by a fractional mean curvature flow. W...
Thesis (Ph.D.)--University of Washington, 2014We construct new examples of self-shrinking solutions ...
In this paper we study smooth solutions to a fractional mean curvature flow equation. We establish a...
In this paper, we generalize Colding-Minicozzi's recent results about codimension-1 self-shrinkers f...
Author Manuscript August 26, 2009It has long been conjectured that starting at a generic smooth clos...
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2016.Cataloged fro...
This doctoral dissertation aims to generalize the uniqueness and existence results of self-shrinkers...
Partially supported by the Grant No. MTM2017-89677-P, MINECO/AEI/FEDER, UE.In Euclidean space, we in...
This dissertation concerns the mean curvature flow, a geometric evolution equation for submanifolds,...
In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's cla...
none3siWe consider the volume-preserving geometric evolution of the boundary of a set under fraction...
We prove that the volume preserving fractional mean curvature flow starting from a convex set does n...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
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