On the Homogenization of Nonlocal Convolution Type Operators

Author:

Piatnitski A.,Sloushch V.,Suslina T.,Zhizhina E.

Publisher

Pleiades Publishing Ltd

Reference9 articles.

1. M. Sh. Birman and T. A. Suslina, “Second Order Periodic Differential Operators. Threshold Properties and Homogenization”, Algebra i Analiz, 15:5 (2003), 1–108; English transl. St. Petersburg Math. J., 15:5 (2004), 639–714.

2. M. Sh. Birman and T. A. Suslina, “Homogenization with Corrector Term for Periodic Elliptic Differential Operators”, Algebra i Analiz, 17:6 (2005), 1–104; English transl. St. Petersburg Math. J., 17:6 (2006), 897–973.

3. M. Sh. Birman and T. A. Suslina, “Homogenization with Corrector for Periodic Differential Operators. Approximation of Solutions in the Sobolev Class $$H^1(\mathbb{R}^d)$$”, Algebra i Analiz, 18:6 (2006), 1–130; English transl. St. Petersburg Math. J., 18:6 (2007), 857–955.

4. A. Braides and A. Piatnitski, “Homogenization of Quadratic Convolution Energies in Periodically Perforated Domains”, Adv. Calc. Var., (2019), DOI 10.1515/acv-2019-0083.

5. Yu. Kondratiev, S. Molchanov, S. Pirogov, and E. Zhizhina, “On Ground State of Some Non Local Schrödinger Operators”, Appl. Anal., 96:8 (2017), 1390–1400.

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