01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
26.01.1947
E-mail:
Keywords:
differential operators spectral theory; elliptic differential operator; deficiency indexes; self-adjointness in essential; direct methods of qualitative spectral analysis.
Main publications:
Brusentsev A. G. O spektre nesamosopryazhennykh ellipticheskikh sistem proizvolnogo poryadka // Differents. uravneniya, 1976, t. XII, # 6, 1040–1051.
Brusentsev A. G. O samosopryazhennosti v suschestvennom poluogranichennykh ellipticheskikh operatorov vysshikh poryadkov // Differents. uravneniya, 1985, t. XXI, # 4, 668–667.
Brusentsev A. G. O samosopryazhennosti v suschestvennom poluogranichennykh ellipticheskikh operatorov vtorogo poryadka, ne podchinennykh usloviyu polnoty rimanova mnogoobraziya // Matem. fizika, analiz, geometriya, 1995, t. 2, # 2, 152–167.
Brusentsev A. G. Prigranichnoe povedenie potentsiala ellipticheskogo operatora, obespechivayuschee ego samosopryazhennost v suschestvennom // Matem. fizika, analiz, geometriya, 1998, t. 5, # 3/4, 149–165.
Brusentsev A. G. Zamechanie o samosopryazhennosti v suschestvennom nepoluogranichennykh ellipticheskikh operatorov v L2(G) // Matem. fizika, analiz, geometriya, 1999, t. 6, # 3/4, 234–244.
A. G. Brusentsev, S. Epifanov, “Optimal choice of light field sources”, Applied Mathematics & Physics, 53:1 (2021), 40–45
2019
2.
O. V. Osipov, A. G. Brusentsev, “Optimal location of heat sources inside areas of complex geometric forms”, Matem. Mod., 31:4 (2019), 3–16; Math. Models Comput. Simul., 11:6 (2019), 905–913
2003
3.
A. G. Brusentsev, “The Multidimensional Weyl Theorem and Covering Families”, Mat. Zametki, 73:1 (2003), 38–48; Math. Notes, 73:1 (2003), 36–45
2002
4.
A. G. Brusentsev, “On the Essential Self-Adjointness of a Nonsemibounded Schrö odinger Operator with Strong Singularities in the Potential”, Differ. Uravn., 38:10 (2002), 1431–1433; Differ. Equ., 38:10 (2002), 1524–1526
5.
A. G. Brusentsev, “About one of Weil's theorems for many-dimensional case”, Mat. Fiz. Anal. Geom., 9:2 (2002), 224–232
1999
6.
A. G. Brusentsev, “A remark on essential self-adjointness of nonsemi-bounded elliptic operators in $L_2(G)$”, Mat. Fiz. Anal. Geom., 6:3/4 (1999), 234–244
A. G. Brusentsev, “Selfadjointness in essentially semibounded higher-order elliptic operators”, Differ. Uravn., 21:4 (1985), 668–677
1976
9.
A. G. Brusentsev, “The spectrum of nonselfadjoint elliptic systems of arbitrary order”, Differ. Uravn., 12:6 (1976), 1040–1051
1974
10.
A. G. Brusentsev, F. S. Rofe-Beketov, “Selfadjointness conditions for strongly elliptic systems of arbitrary order”, Mat. Sb. (N.S.), 95(137):1(9) (1974), 108–129; Math. USSR-Sb., 24:1 (1974), 103–126
A. G. Brusentsev, F. S. Rofe-Beketov, “Self-adjointness of higher-order elliptic integrals”, Funktsional. Anal. i Prilozhen., 7:4 (1973), 78–79; Funct. Anal. Appl., 7:4 (1973), 319–321
Yu. M. Berezanskii, A. G. Brusentsev, V. A. Marchenko, K. V. Maslov, L. A. Pastur, I. V. Ostrovskii, V. I. Khrabustovskii, E. Ya. Khruslov, “Fedor Semenovich Rofe-Beketov (on his 70th birthday)”, Uspekhi Mat. Nauk, 58:4(352) (2003), 173–176; Russian Math. Surveys, 58:4 (2003), 817–820
Contact us: