$\Gamma$-convergence for nonlocal phase transitions
Article Properties
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DOI (url)
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Publication Date2012/08/01
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Indian UGC (journal)
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Refrences24
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Citations76
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Ovidiu Savin Mathematics Department, Columbia University, 2990 Broadway, New York, NY 10027, USA
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Enrico Valdinoci Dipartimento di Matematica, Università degli Studi di Milano, Via Cesare Saldini 50, 20133 Milano, Italy
Cite
Savin, Ovidiu, and Enrico Valdinoci. “$\Gamma$-Convergence for Nonlocal Phase Transitions”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 29, no. 4, 2012, pp. 479-00, https://doi.org/10.1016/j.anihpc.2012.01.006.
Savin, O., & Valdinoci, E. (2012). $\Gamma$-convergence for nonlocal phase transitions. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 29(4), 479-500. https://doi.org/10.1016/j.anihpc.2012.01.006
Savin, Ovidiu, and Enrico Valdinoci. “$\Gamma$-Convergence for Nonlocal Phase Transitions”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 29, no. 4 (2012): 479-500. https://doi.org/10.1016/j.anihpc.2012.01.006.
Savin O, Valdinoci E. $\Gamma$-convergence for nonlocal phase transitions. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2012;29(4):479-500.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Uniform estimates and limiting arguments for nonlocal minimal surfaces | Calculus of Variations and Partial Differential Equations |
| 100 | 2011 |
| Aperiodic fractional obstacle problems | Advances in Mathematics |
| 10 | 2010 |
| Convergence of Nonlocal Threshold Dynamics Approximations to Front Propagation | Archive for Rational Mechanics and Analysis |
| 49 | 2010 |
| Nonlocal minimal surfaces | Communications on Pure and Applied Mathematics |
| 133 | 2010 |
| Gamma convergence of an energy functional related to the fractional Laplacian | Calculus of Variations and Partial Differential Equations |
| 33 | 2009 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
On the Γ-convergence of the Allen–Cahn functional with boundary conditions | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| 1 | 2024 |
| Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto | Calculus of Variations and Partial Differential Equations |
| 2023 | |
| Nonlocal minimal surfaces: recent developments, applications, and future directions | SeMA Journal | 2023 | ||
| \(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions | SIAM Journal on Mathematical Analysis |
| 2023 | |
Time fractional gradient flows: Theory and numerics | Mathematical Models and Methods in Applied Sciences |
| 2023 |
Citations Analysis
The category
Science: Mathematics 65
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Sharp Trace Hardy–Sobolev-Maz’ya Inequalities and the Fractional Laplacian and was published in 2012. The most recent citation comes from a 2024 study titled On the Γ-convergence of the Allen–Cahn functional with boundary conditions. This article reached its peak citation in 2021, with 11 citations. It has been cited in 45 different journals, 11% of which are open access. Among related journals, the Calculus of Variations and Partial Differential Equations cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.