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In memoriam Alexander Vasil’ev (1962–2016). (English) Zbl 1364.01027

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
35-03 History of partial differential equations

Biographic References:

Vasil’ev, Alexander
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[1] Vasil’ev, A.: Mutual change of initial coefficients of univalent functions. Matemat. Zametki 1(38), 56-65 (1985). [English translation: Math. Notes 38(1-2), 543-548 (1985)] · Zbl 0589.30012
[2] Vasil’ev, A.: Variational methods and isoperimetric covering theorems for univalent functions. Izv. VUZov. Mat. 1, 14-18 (1988) [English translation: Soviet Math. 32(1), 14-18 (1988)] · Zbl 0651.30008
[3] Vasil’ev, A.: Optimal control methods in an extremal problem on a class of solutions of the Loewner-Kufarev equation. Differ. Uravn. 3(26), 386-392 (1990) [English translation: Differ. Equations 26(3), 280-294 (1990)] · Zbl 0711.34078
[4] Vasil’ev, A., Fedorov, S.: The method of moduli applied to an extremal problem of conformal mappings. Izv. VUZov. Mat. 8, 13-22 (1990) [English translation: Soviet Math. 34(8) , 13-22 (1990)] · Zbl 0719.30015
[5] Hohlov, Yu., Prokhorov, D., Vasil’ev, A.: On geometrical properties of free boundaries in the Hele-Shaw flows moving boundary problem. Lobachevskii J. Math. 1, 3-13 (1998) · Zbl 0939.76025
[6] Vasil’ev, A., Kornev, K.: Geometric properties of the solutions of a Hele-Shaw type equation. Proc. Am. Math. Soc. 128(9), 2683-2685 (2000) · Zbl 0956.35110 · doi:10.1090/S0002-9939-00-05348-X
[7] Pommerenke, Ch., Vasil’ev, A.: Angular derivatives of bounded univalent functions and extremal partitions of the unit disk. Pac. J. Math. 206(2), 425-450 (2002) · Zbl 1052.30018 · doi:10.2140/pjm.2002.206.425
[8] Vasil’ev, A.: On distortion under bounded univalent functions with the angular derivative fixed. Complex Var. 47(2), 131-147 (2002) · Zbl 1025.30021 · doi:10.1080/02781070290010887
[9] Vasil’ev, A.: Moduli of Families of Curves for Conformal and Quasiconformal Mappings. Lecture Notes in Mathematics, vol. 1788. Springer, Berlin, New York (2002) · Zbl 0999.30001
[10] Hidalgo, R., Vasil’ev, A.: Harmonic moduli of families of curves on Teichmüller spaces. Sci. Ser. A. Math. Sci. 8, 89-107 (2002) · Zbl 1104.30032
[11] Gustafsson, B., Prokhorov, D., Vasil’ev, A.: Infinite lifetime for the starlike dynamics in Hele-Shaw cells. Proc. Am. Math. Soc. 132(9), 2661-2669 (2004) · Zbl 1056.30009 · doi:10.1090/S0002-9939-04-07419-2
[12] Gustafsson, B., Vasil’ev, A.: Nonbranching weak and starshaped strong solutions for Hele-Shaw dynamics. Arch. Math. (Basel) 6(84), 551-558 (2005) · Zbl 1069.76016 · doi:10.1007/s00013-005-1070-2
[13] Hidalgo, R., Vasil’ev, A.: Noded Teichmüller spaces. J. Anal. Math. 99, 63-73 (2006) · Zbl 1134.30028 · doi:10.1007/BF02789443
[14] Gustafsson, B., Vasil’ev, A.: Conformal and Potential Analysis in Hele-Shaw Cells. Advances in Mathematical Fluid Mechanics. Birkhäuser Verlag, Basel, Boston, Berlin (2006) · Zbl 1122.76002
[15] Prokhorov, D., Vasil’ev, A.: Univalent functions and integrable systems. Commun. Math. Phys. 262(2), 393-410 (2006) · Zbl 1103.37045 · doi:10.1007/s00220-005-1499-y
[16] Hidalgo, R., Markina, I., Vasil’ev, A.: Finite dimensional grading of the Virasoro algebra. Georgian Math. J. 14(3), 419-434 (2007) · Zbl 1132.30330
[17] Vasil’ev, A.: Energy characteristics of subordination chains. Ark. Mat. 45, 141-156 (2007) · Zbl 1154.30010 · doi:10.1007/s11512-006-0031-8
[18] Markina, I., Prokhorov, D., Vasil’ev, A.: Sub-Riemannian geometry of the coefficients of univalent functions. J. Funct. Anal. 245(2), 475-492 (2007) · Zbl 1147.30015 · doi:10.1016/j.jfa.2006.09.013
[19] Chang, D.-Ch., Markina, I., Vasil’ev, A.: Sub-Lorentzian geometry on anti-de Sitter space. J. Math. Pures Appl. 90(1), 82-110 (2008) · Zbl 1151.53025
[20] Prokhorov, D., Vasil’ev, A.: Singular and tangent slit solutions to the Loewner equation. In: Analysis and Mathematical Physics [33], pp. 455-463. Trends in Mathematics. Birkhäuser, Basel (2009) · Zbl 1297.30012
[21] Markina, I., Vasil’ev, A.: Virasoro algebra and dynamics in the space of univalent functions. Contemp. Math. 525, 85-116 (2010) · Zbl 1234.81127 · doi:10.1090/conm/525/10365
[22] Chang, D.-Ch., Markina, I.: Hopf fibration: geodesics and distances. J. Geom. Phys 61, 986-1000 (2011) · Zbl 1217.53036
[23] Ivanov, G., Vasil’ev, A.: Löwner evolution driven by a stochastic boundary point. Anal. Math. Phys. 1(4), 387-412 (2011) · Zbl 1255.60169 · doi:10.1007/s13324-011-0019-9
[24] Ivanov, G., Prokhorov, D., Vasil’ev, A.: Non-slit and singular solutions to the Loewner equation. Bull. Sci. Math. 136(3), 328-341 (2012) · Zbl 1259.30007 · doi:10.1016/j.bulsci.2011.09.002
[25] Bracci, F., Contreras, M., Díaz-Madrigal, S., Vasil’ev, A.: Classical and stochastic Löwner-Kufarev equations. In: Vasil’ev, A.: (ed.) Harmonic and Complex Analysis and its Applications. Trends in Mathematics, pp. 39-134. Birkhäuser, Basel (2013) · Zbl 1318.30015
[26] Pavlov, M., Prokhorov, D., Vasil’ev, A., Zakharov, A.: Löwner evolution and finite-dimensional reduction of integrable systems. Theor. Math. Phys. 181(1), 1262-1277 (2014) · Zbl 1309.37062 · doi:10.1007/s11232-014-0211-9
[27] Grong, E., Markina, I., Vasil’ev, A.: Sub-Riemannian geometry on infinite-dimensional manifolds. J. Geom. Anal. 25(4), 2474-2515 (2015) · Zbl 1336.53045 · doi:10.1007/s12220-014-9523-0
[28] Gustafsson, B., Teodorescu, R., Vasil’ev, A.: Classical and Stochastic Laplacian Growth. Advances in Mathematical Fluid Mechanics, p. 315. Birkhäuser, Basel (2015) · Zbl 1311.76026
[29] Ivanov, G., Kang, N.-G., Vasil’ev, A.: Slit holomorphic stochastic flows and Gaussian free field. Complex Anal. Oper. Theory 10(7), 1591-1617 (2016) · Zbl 1362.30008 · doi:10.1007/s11785-016-0536-5
[30] Brakalova, M., Markina, I., Vasil’ev, A.: Modules of systems of measures on polarizable Carnot groups. Ark. Mat. 54(2), 371-401 (2016) · Zbl 1367.30042 · doi:10.1007/s11512-016-0242-6
[31] Markina, I., Vasil’ev, A.: Evolution of smooth shapes and integrable systems. Comput. Methods Funct. Theory 16(2), 203-229 (2016) · Zbl 1342.30003 · doi:10.1007/s40315-015-0133-z
[32] Vasil’ev, A., Sergeev, A.G.: Classical and quantum Teichmüller spaces. Russ. Math. Surv. 3(68), 435-502 (2013) · Zbl 1285.30026 · doi:10.1070/RM2013v068n03ABEH004839
[33] Gustafsson, B., Vasil’ev, A.: Analysis and Mathematical Physics. Trends in Mathematics, p. 522. Birkhäuser, Basel (2009) · Zbl 1169.00012
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