On Lp-estimates for a class of non-local elliptic equations

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Dong, Hongjie, and Doyoon Kim. “On Lp-Estimates for a Class of Non-Local Elliptic Equations”. Journal of Functional Analysis, vol. 262, no. 3, 2012, pp. 1166-99, https://doi.org/10.1016/j.jfa.2011.11.002.
Dong, H., & Kim, D. (2012). On Lp-estimates for a class of non-local elliptic equations. Journal of Functional Analysis, 262(3), 1166-1199. https://doi.org/10.1016/j.jfa.2011.11.002
Dong, Hongjie, and Doyoon Kim. “On Lp-Estimates for a Class of Non-Local Elliptic Equations”. Journal of Functional Analysis 262, no. 3 (2012): 1166-99. https://doi.org/10.1016/j.jfa.2011.11.002.
Dong H, Kim D. On Lp-estimates for a class of non-local elliptic equations. Journal of Functional Analysis. 2012;262(3):1166-99.
Refrences
Title Journal Journal Categories Citations Publication Date
On the L p -Solvability of Higher Order Parabolic and Elliptic Systems with BMO Coefficients 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
67 2011
Hölder continuity of solutions of second-order non-linear elliptic integro-differential equations 2011
Regularity theory for fully nonlinear integro‐differential equations

Communications on Pure and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
338 2009
Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms Journal of Functional Analysis
  • Science: Mathematics
67 2007
Lévy processes and Fourier multipliers Journal of Functional Analysis
  • Science: Mathematics
37 2007
Refrences Analysis
The category Science: Mathematics 12 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Functional Analysis and Communications in Partial 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
Global endpoint regularity estimates for the fractional Dirichlet problem Mathematische Zeitschrift
  • Science: Mathematics
2024
On $$L_{p}-$$ Theory for Integro-Differential Operators with Spatially Dependent Coefficients Potential Analysis
  • Science: Mathematics
2024
A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in \(\boldsymbol{L_{{q}}(L_{{p}})}\) Spaces SIAM Journal on Mathematical Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Regularity and convergence results for nonlocal peridynamic equations with truncated tensor kernels Zeitschrift für angewandte Mathematik und Physik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Boundedness of non-local operators with spatially dependent coefficients and $$L_p$$-estimates for non-local equations Calculus of Variations and Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
4 2023
Citations Analysis
The category Science: Mathematics 39 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Schauder estimates for a class of non-local elliptic equations and was published in 2013. The most recent citation comes from a 2024 study titled On $$L_{p}-$$ Theory for Integro-Differential Operators with Spatially Dependent Coefficients. This article reached its peak citation in 2023, with 10 citations. It has been cited in 25 different journals, 8% of which are open access. Among related journals, the Stochastics and Partial Differential Equations: Analysis and Computations cited this research the most, with 5 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year