Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

Article Properties
  • DOI (url)
    10.1016/j.anihpc.2007.02.007
  • Publication Date
    2008/06/01
  • Journal
    Annales de l'Institut Henri Poincaré C, Analyse non linéaire
  • Indian UGC (journal)
  • Refrences
    20
  • Citations
    181
  • Guy Barles Laboratoire de Mathématiques et Physique Théorique CNRS UMR 6083, Fédération Denis Poisson, Université François Rabelais, Parc de Grandmont, 37200 Tours, France
  • Cyril Imbert Polytech'Montpellier & Institut de mathématiques et de modélisation de Montpellier, UMR CNRS 5149, Université Montpellier II, CC 051, Place E. Bataillon, 34 095 Montpellier cedex 5, France
Cite
Barles, Guy, and Cyril Imbert. “Second-Order Elliptic Integro-Differential Equations: Viscosity solutions’ Theory Revisited”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 25, no. 3, 2008, pp. 567-85, https://doi.org/10.1016/j.anihpc.2007.02.007.
Barles, G., & Imbert, C. (2008). Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 25(3), 567-585. https://doi.org/10.1016/j.anihpc.2007.02.007
Barles, Guy, and Cyril Imbert. “Second-Order Elliptic Integro-Differential Equations: Viscosity solutions’ Theory Revisited”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 25, no. 3 (2008): 567-85. https://doi.org/10.1016/j.anihpc.2007.02.007.
Barles G, Imbert C. Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2008;25(3):567-85.
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Refrences Analysis
Category Category Repetition
Science: Mathematics8
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Technology: Mechanical engineering and machinery2
Technology: Engineering (General). Civil engineering (General)2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
The category Science: Mathematics 8 is the most frequently represented among the references in this article. It primarily includes studies from Archiv der Mathematik and Journal of Differential Equations. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Stochastic transmission in epidemiological models Journal of Mathematical Biology
  • Science: Biology (General)
  • Medicine: Medicine (General): Computer applications to medicine. Medical informatics
  • Science: Biology (General)
  • Science: Biology (General)
  • Science: Chemistry: Organic chemistry: Biochemistry
 1 2024
Decay rates of convergence for Fokker-Planck equations with confining drift Advances in Mathematics
  • Science: Mathematics
 2024
Hölder estimates for viscosity solutions of nonlocal equations with variable-order fractional Laplace term Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Viscosity Solutions for Nonlocal Equations with Space-Dependent Operators SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A semi‐Lagrangian ε$$ \varepsilon $$‐monotone Fourier method for continuous withdrawal GMWBs under jump‐diffusion with stochastic interest rate

 Numerical Methods for Partial Differential Equations
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
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Citations Analysis
Category Category Repetition
Science: Mathematics160
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods104
Technology: Engineering (General). Civil engineering (General)22
Science: Mathematics: Probabilities. Mathematical statistics22
Technology: Mechanical engineering and machinery19
Social Sciences: Statistics10
Social Sciences: Economic theory. Demography: Economics as a science10
Social Sciences: Commerce: Business10
Social Sciences: Finance8
Technology: Manufactures: Production management. Operations management5
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks2
Science: Biology (General)1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Science: Chemistry: Organic chemistry: Biochemistry1
Science: Physics1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
The category Science: Mathematics 160 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Fractional semi-linear parabolic equations with unbounded data and was published in 2008. The most recent citation comes from a 2024 study titled Hölder estimates for viscosity solutions of nonlocal equations with variable-order fractional Laplace term. This article reached its peak citation in 2016, with 19 citations. It has been cited in 72 different journals, 1% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year