Publications

If you are interested in any of the publications below, please feel free to write to me. I’d be happy to share a PDF with you.

1. S. Aiyappan, A. Chattaraj, I. Pettersson, “Homogenization of an indefinite spectral problem arising in population genetics,”

J. Differential Equations 470 (2026), 114426.

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2. S. Aiyappan, G. Griso, J. Orlik, A. Sufian, “Asymptotic Analysis of Maxwell’s Equations to Study Shielding Through a Thin Periodic Perforated Metallic Layer,”

Appl. Math. Optim. 94 (2026), 1.

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3. S. Aiyappan, G. Cardone, C. Perugia, “Optimal control problem stated in a locally periodic rough domain: a homogenization study,”

Applicable Analysis 103 (2024), no. 10, 1757–1768.

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4. S. Aiyappan, G. Griso, J. Orlik, “Homogenization of Helmholtz equation in a periodic layer to study Faraday cage-like shielding effects,”

Complex Variables and Elliptic Equations 69 (2024), no. 4, 607–625.

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5. S. Aiyappan, G. Cardone, C. Perugia, R. Prakash, “Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method,”

Nonlinear Anal. Real World Appl. 66 (2022), 103537.

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6. S. Aiyappan, Klas Pettersson, Abu Sufian, “Homogenization of a non-periodic oscillating boundary via periodic unfolding,”

Differential Equations & Applications 14 (2022), no. 1, 31–47.

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7. S. Aiyappan, K. Pettersson, “Homogenization of a locally periodic oscillating boundary,”

Appl. Math. Optim. 86 (2022), no. 2, 14.

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8. S. Aiyappan, A. K. Nandakumaran, R. Prakash, “Semi-linear optimal control problem on a smooth oscillating domain,”

Commun. Contemp. Math. 22 (2020), no. 4, 1950029.

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9. S. Aiyappan, E. C. Jose, I. C. B. Lomerio, A. K. Nandakumaran, “Control problem on a rough circular domain and homogenization,”

Asymptot. Anal. 115 (2019), no. 1–2, 19–46.

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10. S. Aiyappan, A. K. Nandakumaran, R. Prakash, “Locally periodic unfolding operator for highly oscillating rough domains,”

Ann. Mat. Pura Appl. (4) 198 (2019), no. 6, 1931–1954.

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11. S. Aiyappan, A. K. Nandakumaran, A. Sufian, “Asymptotic analysis of a boundary optimal control problem on a general branched structure,”

Math. Methods Appl. Sci. 42 (2019), no. 18, 6407–6434.

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12. S. Aiyappan, B. C. Sardar, “Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem,”

Applicable Analysis 98 (2019), no. 16, 2783–2801.

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13. S. Aiyappan, A. K. Nandakumaran, R. Prakash, “Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization,”

Calc. Var. Partial Differential Equations 57 (2018), no. 3, Art. 86, 30 pp.

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14. S. Aiyappan, A. K. Nandakumaran, “Optimal control problem in a domain with branched structure and homogenization,”

Math. Methods Appl. Sci. 40 (2017), no. 8, 3173–3189.

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For the most recent bibliographic updates, see the corresponding journal/DOI records.