Multiphase free discontinuity problems: monotonicity formula and regularity results
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Publication:2046467
DOI10.1016/j.anihpc.2020.12.003zbMath1471.35340OpenAlexW3117498552MaRDI QIDQ2046467
Alessandro Giacomini, Dorin Bucur, Ilaria Fragalà
Publication date: 18 August 2021
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2020.12.003
Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35)
Cites Work
- Unnamed Item
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- Cheeger \(N\)-clusters
- Existence and regularity of minimizers of a functional for unsupervised multiphase segmentation
- Analysis on the junctions of domain walls
- A variational method in image segmentation: Existence and approximation results
- Harmonic functions with polynomial growth
- Optimal partitions for Robin Laplacian eigenvalues
- Existence theorem for a minimum problem with free discontinuity set
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Revisiting brittle fracture as an energy minimization problem
- Variational methods in shape optimization problems
- Monotonicity formula and regularity for general free discontinuity problems
- An overview of the Mumford-Shah problem
- An optimal partition problem for eigenvalues
- A free boundary problem related to thermal insulation
- A MODEL OF COLUMNAR JOINTING
- Optimal approximations by piecewise smooth functions and associated variational problems
- A general framework of piecewise-polynomial Mumford–Shah model for image segmentation
- Relaxation of free-discontinuity energies with obstacles
- Generalizing Mumford-Shah Model for Multiphase Piecewise Smooth Image Segmentation
- Fine regularity results for Mumford-Shah minimizers: porosity, higher integrability and the Mumford-Shah conjecture
- The Multiphase Mumford--Shah Problem
- Multiphase Shape Optimization Problems
- A variational problem for the spatial segregation of reaction-diffusion systems
- Unsupervised Multiphase Segmentation: A Phase Balancing Model
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