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Communications in Partial Differential Equations Volume 34, 2009 - Issue 7
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Original Articles

Homogenization of a Class of Integro-Differential Equations with Lévy Operators

Mariko Arisawa Wolfgang Pauli Institute, University of Wien, Wien, AustriaCorrespondence[email protected]
Pages 617-624 | Received 01 Dec 2007, Accepted 29 Mar 2009, Published online: 04 Sep 2009

Citations (14)

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Adina Ciomaga, Daria Ghilli & Erwin Topp. (2022) Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion. Communications in Partial Differential Equations 47:1, pages 1-38.
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Articles from other publishers (13)

A. Piatnitski & E. Zhizhina. (2023) Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media. Markov Processes And Related Fields:2(29), pages 173-188.
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Qiao Huang, Jinqiao Duan & Renming Song. (2022) Homogenization of nonlocal partial differential equations related to stochastic differential equations with Lévy noise. Bernoulli 28:3.
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Nikola Sandrić, Ari Arapostathis & Guodong Pang. (2022) Subexponential Upper and Lower Bounds in Wasserstein Distance for Markov Processes. Applied Mathematics & Optimization 85:3.
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Xin Chen, Zhen-Qing Chen, Takashi Kumagai & Jian Wang. (2021) Periodic homogenization of nonsymmetric Lévy-type processes. The Annals of Probability 49:6.
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Nikola Sandrić, Ivana Valentić & Jian Wang. (2020) Periodic homogenization of a Lévy-type process with small jumps. Journal of Evolution Equations 21:1, pages 771-803.
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Martino Bardi, Annalisa Cesaroni & Erwin Topp. (2019) Cauchy problem and periodic homogenization for nonlocal Hamilton–Jacobi equations with coercive gradient terms. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150:6, pages 3028-3059.
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A. Piatnitski & E. Zhizhina. (2020) Stochastic homogenization of convolution type operators. Journal de Mathématiques Pures et Appliquées 134, pages 36-71.
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Loredana Bălilescu, Amrita Ghosh & Tuhin Ghosh. (2019) H-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains. Zeitschrift für angewandte Mathematik und Physik 70:6.
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M. Kassmann, A. Piatnitski & E. Zhizhina. (2019) Homogenization of Lévy-type Operators with Oscillating Coefficients. SIAM Journal on Mathematical Analysis 51:5, pages 3641-3665.
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A. Piatnitski & E. Zhizhina. (2017) Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel. SIAM Journal on Mathematical Analysis 49:1, pages 64-81.
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Yan Zhang. (2016) Asymptotic behavior of a nonlocal KPP equation with an almost periodic nonlinearity. Discrete and Continuous Dynamical Systems 36:9, pages 5183-5199.
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Nikola Sandrić. (2016) Homogenization of periodic diffusion with small jumps. Journal of Mathematical Analysis and Applications 435:1, pages 551-577.
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Russell W. Schwab. (2010) Periodic Homogenization for Nonlinear Integro-Differential Equations. SIAM Journal on Mathematical Analysis 42:6, pages 2652-2680.
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