\( L^{p} \)-maximal regularity of nonlocal parabolic equations and applications

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Cite
Zhang, Xicheng. “\( L^{p} \)-Maximal Regularity of Nonlocal Parabolic Equations and Applications”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 30, no. 4, 2013, pp. 573-14, https://doi.org/10.1016/j.anihpc.2012.10.006.
Zhang, X. (2013). \( L^{p} \)-maximal regularity of nonlocal parabolic equations and applications. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 30(4), 573-614. https://doi.org/10.1016/j.anihpc.2012.10.006
Zhang, Xicheng. “\( L^{p} \)-Maximal Regularity of Nonlocal Parabolic Equations and Applications”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 30, no. 4 (2013): 573-614. https://doi.org/10.1016/j.anihpc.2012.10.006.
Zhang X. \( L^{p} \)-maximal regularity of nonlocal parabolic equations and applications. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2013;30(4):573-614.
Refrences
Title Journal Journal Categories Citations Publication Date
On Lp-estimates for a class of non-local elliptic equations Journal of Functional Analysis
  • Science: Mathematics
42 2012
On the differentiability of the solution to the Hamilton–Jacobi equation with critical fractional diffusion Advances in Mathematics
  • Science: Mathematics
47 2011
Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation Annals of Mathematics
  • Science: Mathematics
513 2010
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
Solving a nonlinear pseudo-differential equation of Burgers type Stochastics and Dynamics
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2008
Citations
Title Journal Journal Categories Citations Publication Date
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
A weighted $$L_p$$-regularity theory for parabolic partial differential equations with time-measurable pseudo-differential operators Journal of Pseudo-Differential Operators and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2023
A maximal $$L_p$$-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes Stochastics and Partial Differential Equations: Analysis and Computations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2 2023
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps Stochastics and Partial Differential Equations: Analysis and Computations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2023
Citations Analysis
The category Science: Mathematics 33 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Well-posedness of fully nonlinear and nonlocal critical parabolic equations and was published in 2012. 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 6 citations. It has been cited in 19 different journals, 5% 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