Multiphase free discontinuity problems: Monotonicity formula and regularity results

Article Properties
  • Publication Date
    2021/10/01
  • Indian UGC (journal)
  • Refrences
    28
  • Alessandro Giacomini DICATAM, Sezione di Matematica, Università degli Studi di Brescia, Via Branze 43, 25133 Brescia, Italy
  • Dorin Bucur Univ. Savoie Mont Blanc, CNRS, LAMA, 73000 Chambéry, France
  • Ilaria Fragalà Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy
Cite
Giacomini, Alessandro, et al. “Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 38, no. 5, 2021, pp. 1553-82, https://doi.org/10.1016/j.anihpc.2020.12.003.
Giacomini, A., Bucur, D., & Fragalà, I. (2021). Multiphase free discontinuity problems: Monotonicity formula and regularity results. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 38(5), 1553-1582. https://doi.org/10.1016/j.anihpc.2020.12.003
Giacomini A, Bucur D, Fragalà I. Multiphase free discontinuity problems: Monotonicity formula and regularity results. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2021;38(5):1553-82.
Refrences
Title Journal Journal Categories Citations Publication Date
The multiphase Mumford-Shah problem SIAM Journal on Imaging Sciences
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Photography
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Science: Mathematics
2019
A general framework of piecewise-polynomial Mumford–Shah model for image segmentation International Journal of Computer Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General)
7 2017
Generalizing Mumford-Shah model for multiphase piecewise smooth image segmentation IEEE Transactions on Image Processing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
2017
A free boundary problem related to thermal insulation Communications in Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
18 2016
Monotonicity Formula and Regularity for General Free Discontinuity Problems Archive for Rational Mechanics and Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics
22 2014