The \(L^1\) gradient flow of a generalized scale invariant Willmore energy for radially non-increasing functions
From MaRDI portal
Publication:2409044
DOI10.1515/acv-2015-0008zbMath1376.49017arXiv1411.3951OpenAlexW2964158333MaRDI QIDQ2409044
Publication date: 10 October 2017
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.3951
Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Constructive functional analysis (46S30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Maxwell strata in the Euler elastic problem
- On the Willmore's theorem for convex hypersurfaces
- The total variation flow in \(\mathbb R^N\)
- Motion of level sets by mean curvature. I
- A cortical based model of perceptual completion in the roto-translation space
- On a variational theory of image amodal completion
- Asymptotic behavior for singularities of the mean curvature flow
- Motion of level sets by mean curvature. III
- Motion of level sets by mean curvature. IV
- Implicit time discretization for the mean curvature flow equation
- A direct variational approach to a problem arising in image reconstruction
- The Willmore flow with small initial energy.
- Characterization and representation of the lower semicontinuous envelope of the elastica functional
- Removability of point singularities of Willmore surfaces
- The Willmore flow near spheres.
- An algorithm for mean curvature motion
- A level set formulation for Willmore flow
- Second order rectifiability of integral varifolds of locally bounded first variation
- A coarea-type formula for the relaxation of a generalized elastica functional
- Gradient Young measures, varifolds, and a generalized Willmore functional
- Geometrically Guided Exemplar-Based Inpainting
- Locality of the mean curvature of rectifiable varifolds
- Weakly Differentiable Functions
- Motion of Level Sets by Mean Curvature. II
- The Motion of a Surface by Its Mean Curvature. (MN-20)
- Curvature-Driven Flows: A Variational Approach
- Euler's Elastica and Curvature-Based Inpainting
- A Convex, Lower Semicontinuous Approximation of Euler's Elastica Energy
- Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations