Resolvents and spectra of elliptic operators with distant perturbations.
Main publications:
A.M. Golovina, “The resolvent of elliptic operators with distant perturbation”, International conference “Differntial Equation and Related Topics” dedicated to I.G. Petrovskii, 2011, 45–46
Golovina A.M., “O rezolvente ellipticheskikh operatorov s razbegayuschimisya vozmuscheniyami”, Spektralnaya teoriya operatorov i ee prilozheniya, Materialy mezhdunarodnoi konferentsii, posvyaschennoi pamyati professora A.G. Kostyuchenko
A. G. Dyakonov, A. M. Golovina, “Completeness criteria for a linear model of classification algorithms with respect to families of decision rules”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 67–70; Dokl. Math., 101:1 (2020), 57–59
2019
2.
D. I. Borisov, A. M. Golovina, “On occurrence of resonances from multiple eigenvalues of the Schrödinger operator in a cylinder with scattering perturbations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 163 (2019), 3–14
A. M. Golovina, “On the spectrum of elliptic operators with distant perturbation in the space”, Algebra i Analiz, 25:5 (2013), 32–60; St. Petersburg Math. J., 25:5 (2014), 735–754