Vladimir Alexandrovich Kondratiev. July~2, 1935~-- March~11, 2010

M. S. Agranovich ; I. V. Astashova ; L. A. Bagirov ; V. V. Vlasov ; V. V. Zhikov ; Yu. S. Ilyashenko ; V. V. Kozlov ; A. A. Kon'kov ; S. I. Pokhozhaev ; E. V. Radkevich ; N. Kh. Rozov ; I. N. Sergeev ; A. L. Skubachevskii ; G. A. Chechkin ; A. S. Shamaev ; T. A. Shaposhnikova

Contemporary Mathematics. Fundamental Directions, Partial differential equations, Tome 39 (2011), pp. 5-10.

Bibliographie

[1] Kondpatev V. A., “Elementarnyi vyvod neobkhodimogo i dostatochnogo usloviya nekoleblemosti reshenii lineinogo differentsialnogo uravneniya vtorogo poryadka”, Usp. mat. nauk, 12:3 (1957), 159–160 | MR | Zbl

[2] Kondpatev V. A., “Dostatochnye usloviya nekoleblemosti i koleblemosti reshenii uravneniya $y''+p(x)y=0$”, DAN SSSR, 113:4 (1957), 742–745

[3] Kondpatev V. A., “O koleblemosti resheniya lineinykh differentsialnykh uravnenii tretego i chetvertogo poryadka”, DAN SSSR, 118:1 (1958), 22–24

[4] Kondpatev V. A., “O nulyakh reshenii uravneniya $y''+p(x)y=0$”, DAN SSSR, 120:6 (1958), 1180–1182

[5] Kondpatev V. A., “O koleblemosti reshenii lineinykh uravnenii tretego i chetvertogo poryadka”, Tr. Mosk. Mat. ob-va, 8, 1959, 259–281

[6] Kondpatev V. A., “Rasshirenie lineinykh differentsialnykh operatorov”, DAN SSSR, 125:3 (1959), 479–481

[7] Kondpatev V. A., “O koleblemosti reshenii uravneniya $y''+p(x)y=0$”, Tr. Mosk. Mat. ob-va, 10, 1961, 419–436

[8] Kondpatev V. A., “Otsenki proizvodnykh reshenii ellipticheskikh uravnenii vblizi granitsy”, DAN SSSR, 146:1 (1962), 22–25

[9] Kondpatev V. A., “Kraevye zadachi dlya parabolicheskikh uravnenii v zamknutykh oblastyakh”, Tr. Mosk. Mat. ob-va, 15, 1966, 400–451

[10] Kondpatev V. A., “O razreshimosti pervoi kraevoi zadachi dlya silno ellipticheskikh uravnenii”, Tr. Mosk. Mat. ob-va, 16, 1967, 293–318

[11] Kondpatev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. Mosk. Mat. ob-va, 16, 1967, 209–292

[12] Kondpatev V. A., Egorov Yu. V., “O zadache s kosoi proizvodnoi”, Mat. sb., 78(120):1 (1969), 148–176 | MR | Zbl

[13] Kondpatev V. A., “O gladkosti resheniya zadachi Dirikhle dlya ellipticheskikh uravnenii vtorogo poryadka v kusochno-gladkoi oblasti”, Differents. ur-ya, 6:10 (1970), 1831–1843

[14] Kondpatev V. A., “O summiruemosti polozhitelnykh reshenii differentsialnykh uravnenii proizvolnogo poryadka v okrestnosti kharakteristicheskogo mnogoobraziya”, Mat. sb., 99(141):4 (1976), 582–593 | MR | Zbl

[15] Kondpatev V. A., “Osobennosti resheniya zadachi Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka v okrestnosti rebra”, Differents. ur-ya, 13:11 (1977), 2026–2032 | MR

[16] Kondpatev V. A., “O reshenii giperbolicheskoi zadachi Koshi pri nalichii kharakteristicheskikh tochek nachalnoi poverkhnosti”, Tr. sem. im. I. G. Petrovskogo, 5, 1979, 97–104

[17] Kondpatev V. A., Oleinik O. A., Kopachek I., “Ob asimptoticheskikh svoistvakh reshenii bigarmonicheskogo uravneniya”, Differents. ur-ya, 17:10 (1981), 1886–1899 | MR

[18] Kondpatev V. A., Oleinik O. A., Kopachek I., “O povedenii obobschennykh reshenii ellipticheskikh uravnenii vtorogo poryadka i sistemy teorii uprugosti v okrestnosti granichnoi tochki”, Trudy seminara im. I. G. Petrovskogo, 2, 1982, 135–152

[19] Kondratiev V. A., Oleinik O. A., “Estimates for solutions of the Dirichlet problem in a neighbourhood of an irregular boundary point and in a neighbourhood of infinity. Sent-Venant's principle”, Proc. Roy. Soc. Edinburg sect. A, 93:3–4 (1982), 327–343 | MR

[20] Kondpatev V. A., Egorov Yu. V., Oleinik O. A., “Neuluchshaemye otsenki v prostranstvakh Geldera dlya obobschennykh reshenii bigarmonicheskogo uravneniya, sistemy uravnenii Nave–Stoksa i sistemy Karmana v negladkikh dvumernykh oblastyakh”, Vestnik MGU. Mat., mekh., 1983, no. 6, 22–39

[21] Kondpatev V. A., Oleinik O. A., “Kraevye zadachi dlya uravnenii s chastnymi proizvodnymi v negladkikh oblastyakh”, Usp. mat. nauk, 38:2 (1983), 3–76 | MR | Zbl

[22] Egorov Yu. V., Kondpatev V. A., “Ob otsenke naimenshego sobstvennogo znacheniya dlya ellipticheskogo operatora”, Differents. ur-ya, 20:8 (1984), 1397–1403 | MR | Zbl

[23] Kondpatev V. A., Oleinik O. A., “O periodicheskikh po vremeni resheniyakh parabolicheskogo uravneniya vtorogo poryadka vo vneshnikh oblastyakh”, Vestnik MGU. Mat., mekh., 1985, no. 4, 38–47

[24] Kondpatev V. A., Kopachek I., Oleinik O. A., “O nailuchshikh pokazatelyakh Geldera dlya obobschennykh reshenii zadachi Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka”, Mat. sb., 131(173):1 (1986), 113–125 | MR | Zbl

[25] Kondratiev V. A., “Estimates near the boundary for second order derivatives of solutions of the Dirichlet problem for the biharmonic equation”, Atti. Acad. Naz. Lincei. Read. Cl. Sci. Fiso. Mat. Ser. 8, 80:7–12 (1986), 525–529 | MR | Zbl

[26] Kondratiev V. A., Oleinik O. A., “Asymptotic properties of solutions of elasticity system”, Application of multiple scaling in mechanics, Masson, Paris, 1987, 188–205 | MR

[27] Kondpatev V. A., Oleinik O. A., “Ob asimptotike v okrestnosti beskonechnosti reshenii s konechnym integralom Dirikhle ellipticheskikh uravnenii vtorogo poryadka”, Tr. sem. im. I. G. Petrovskogo, 12, 1987, 149–163

[28] Kondpatev V. A., Egorov Yu. V., “Ob otsenkakh sobstvennykh funktsii ellipticheskikh operatorov s postoyannymi koeffitsientami”, Tr. sem. im. I. G. Petrovskogo, 12, 1987, 229–237

[29] Kondpatev V. A., Egorov Yu. V., “Ob otsenke chisla tochek otritsatelnogo spektra operatora Shredingera”, Mat. sb., 134(176):4 (1987), 556–570 | MR | Zbl

[30] Kondratiev V. A., Oleinik O. A., “On the behaviour at infinity of solutions of elliptic system with finite energy integral”, Arch. Ration. Mech. Anal., 99:1 (1987), 75–89 | DOI | MR | Zbl

[31] Kondpatev V. A., Landis E. M., “Kachestvennaya teoriya lineinykh differentsialnykh uravnenii v chastnykh proizvodnykh vtorogo poryadka”, Itogi nauki i tekh. ser. Sovrem. probl. mat. Fundam. napr., 32, VINITI, M., 1988, 99–215 | MR | Zbl

[32] Kondpatev V. A., Oleinik O. A., “Kraevye zadachi dlya sistemy teorii uprugosti v neogranichennykh oblastyakh. Neravenstva Korna”, Usp. mat. nauk, 43:5 (1988), 55–98 | MR | Zbl

[33] Kondpatev V. A., Landis E. M., “O kachestvennykh svoistvakh reshenii odnogo nelineinogo uravneniya vtorogo poryadka”, Mat. sb., 135(177):3 (1988), 346–360 | MR | Zbl

[34] Kondpatev V. A., Landis E. M., “Polulineinye uravneniya vtorogo poryadka s neotritsatelnoi kharakteristicheskoi formoi”, Mat. zametki, 44:4 (1988), 457–468 | MR | Zbl

[35] Kondratev V. A., Kozlov V. A., Mazya V. G., “O znakoperemennosti i otsutstvii “silnykh” nulei reshenii ellipticheskikh uravnenii”, Izv. AN SSSR. Ser. matem., 53:2 (1989), 328–344 | MR | Zbl

[36] Vishik M. I., Ilyashenko Yu. S., Kalashnikov A. S., Kondratev V. A., Kruzhkov S. N., Landis E. M., Millionschikov V. M., Oleinik O. A., Filippov A. F., Shubin M. A., “Nekotorye nereshennye problemy v differentsialnykh uravneniyakh i matematicheskoi fizike”, Usp. mat. nauk, 44:4 (1989), 191–202 | MR | Zbl

[37] Kondratiev V. A., Landis E. M., “The qualitative theory of second order partial differential equations”, Encyclopedia Math. Sci., 31 (1989), 99–215

[38] Egorov Yu. V., Kondratev V. A., “Ob otritsatelnom spektre ellipticheskogo operatora”, Mat. sb., 181:2 (1990), 147–166 | MR | Zbl

[39] Egorov Yu. V., Kondratev V. A., “Ob otritsatelnom spektre ellipticheskogo operatora”, Tr. mat. in-ta im. V. A. Steklova, 192, 1990, 61–67 | MR | Zbl

[40] Kondratiev V. A., Oleinik O. A., “Hardy's and Korn's type inequalities and their applications”, Rend. Mat. Appl. (7), 10:3 (1990), 641–666 | MR | Zbl

[41] Kondpatev V. A., Oleinik O. A., Kopachek I., “O kharaktere nepreryvnosti na granitse negladkoi oblasti obobschennogo resheniya zadachi Dirikhle dlya bigarmonicheskogo uravneniya”, Mat. sb., 181:4 (1990), 564–575 | MR | Zbl

[42] Kondratiev V. A., “Schauder-type estimates of solutions of second order elliptic systems in divergence form in non-regular domains”, Comm. Partial Differential Equations, 16:12 (1991), 1857–1878 | DOI | MR

[43] Kondpatev V. A., Oleinik O. A., “Novyi podkhod k zadacham Bussineska i Cherruti dlya sistemy teorii uprugosti”, Vestnik MGU. Ser. 1. Mat., mekh., 1991, no. 1, 12–23

[44] Kondpatev V. A., “O kachestvennykh svoistvakh reshenii polulineinykh ellipticheskikh uravnenii”, Tr. sem. im. I. G. Petrovskogo, 16, 1992, 186–190

[45] Egorov Yu. V., Kondratiev V. A., “On estimates for the eigenvalues in some elliptic problems”, Operator calculus and spectral theory, Oper. Theory Adv. Appl., 57, 1992, 51–60 | MR | Zbl

[46] Kondratiev V. A., Oleinik O. A., “Some results for nonlinear elliptic equations in cylindrical domains”, Operator calculus and spectral theory, Oper. Theory Adv. Appl., 57, 1992, 185–195 | MR | Zbl

[47] Kondratiev V. A., Oleinik O. A., “On asimptotic behaviour of solutions of some nonlinear elliptic equations in unbounded domains”, Partial differential equations and related subjects, Pitman Res. Notes Math. Ser., 269, 1992, 169–196 | MR

[48] Egorov Yu. V., Kondratiev V. A., “Estimates of the negative spectrum of an elliptic operator”, Amer. Math. Soc. Transl. Ser. 2, 150 (1992), 111–140 | MR | Zbl

[49] Kondratiev V. A., Oleinik O. A., “Boundary value problems for nonlinear elliptic equations in cylindrical domains”, J. Partial Differential Equations, 6:1 (1993), 10–16 | MR | Zbl

[50] Kondratiev V. A., “Invertibility of schrodinger operators in weighted spaces”, Russ. J. Math. Phys., 1:4 (1993), 465–482 | MR

[51] Kondpatev V. A., “O resheniyakh slabo nelineinykh ellipticheskikh uravnenii v okrestnosti konicheskoi tochki granitsy”, Differents. ur-ya, 29:2 (1993), 298–306 | MR

[52] Kondratiev V. A., Oleinik O. A., “On behaviour of solutions a class of nonlinear elliptic second order equations in a neighberhood of a conic point of the boundary”, Lect. Not. Pure Appl. Math., 167, 1995, 151–161 | MR

[53] Egorov Yu. V., Kondratiev V. A., “On moments of negative eigenvalues of an elliptic operator”, Math. Nachr., 174 (1995), 73–79 | DOI | MR | Zbl

[54] Kondratiev V. A., Oleinik O. A., “On asymptotics of solutions of nonlinear second order elliptic equations in cylindrical domains”, Progr. Nouliuzar Differential Equations Appl., 22 (1996), 160–173 | MR | Zbl

[55] Egorov Yu. V., Kondratev V. A., “Ob otsenkakh pervogo sobstvennogo znacheniya v nekotorykh zadachakh Shturma–Liuvillya”, Usp. mat. nauk, 51:3 (1996), 73–144 | MR | Zbl

[56] Egorov Yu. V., Kondratiev V. A., On Spectral Theory of Elliptic Operators, Oper. Theory Adv. App., 89, 1996, 325 pp. | Zbl

[57] Kondratev V. A., “O resheniyakh nelineinykh ellipticheskikh uravnenii v tsilindricheskikh oblastyakh”, Fundamentalnaya i prikladnaya matematika, 2:3 (1996), 863–874 | MR | Zbl

[58] Kondratev V. A., “O nelineinykh kraevykh zadachakh v tsilindricheskikh oblastyakh”, Tr. sem. im. I. G. Petrovskogo, 19, 1996, 235–261

[59] Kondratiev V. A., Nicolosi F., “On some properties of the solutions of quasilinear degenerate elliptic equations”, Math. Nachr., 182 (1996), 243–260 | DOI | MR | Zbl

[60] Egorov Yu. V., Kondratiev V. A., “On blow-up solutions for parabolic equations of second order”, Math. Res., 100 (1997), 77–84 | MR | Zbl

[61] Kondratiev V. A., Veron L., “Asymptotic behaviour of solutions of some nonlinear parabolic or elliptic equations”, Asymptot. Anal., 14:2 (1997), 117–156 | MR | Zbl

[62] Egorov Yu. V., Kondratev V. A., “Ob odnoi zadache O. A. Oleinik”, Usp. mat. nauk, 52:6 (1997), 159–160 | MR | Zbl

[63] Kondratev V. A., “Ob asimptoticheskikh svoistvakh reshenii nelineinogo uravneniya teploprovodnosti”, Diffepents. ur-ya, 34:2 (1998), 246–256 | MR

[64] Egorov Yu. V., Kondratev V. A., Oleinik O. A., “Asimptoticheskoe povedenie reshenii nelineinykh ellipticheskikh i parabolicheskikh sistem v tsilindricheskikh oblastyakh”, Mat. sb., 189:3 (1998), 45–68 | MR | Zbl

[65] Egorov Yu. V., Kondratiev V. A., “On estimates of the first eigenvalue in some elliptic problems”, Differential and integral operators, Oper. Theory Adv. Appl., 102, 1998, 73–84 | MR | Zbl

[66] Egorov Yu. V., Kondratiev V. A., “Two theorems on blow-up solutions for semilincar parabolic equations of second order”, C. R. Acad. Sci. Paris. Ser. I Math., 327:1 (1998), 47–52 | MR | Zbl

[67] Kondratiev V. A., “Completness of root functions of elliptical operators in Banach Spaces”, Russ. J. Math. Phys., 6:2 (1999), 194–201 | MR

[68] Kondratiev V. A., “On properties of solutions to nonlinear parabolic equations of the second order”, J. Dyn. Control Syst., 5 (1999), 523–546 | DOI | MR

[69] Egorov Yu. V., Kondratiev V. A., “On asymptotic behavior in an infinite cylinder of solutions to an elliptic equation of second order”, Appl. Anal., 71:1–4 (1999), 25–39 | MR | Zbl

[70] Egorov Yu. V., Kondratiev V. A., “On some global existence theorem for a semilinear parabolic problem”, Applied Nonlinear Analysis, Kluwer Plenum, N.Y., 1999, 67–78 | MR | Zbl

[71] Kondratiev V. A., Shubin M. A., “Discreteness of spectrum for the Schrodinger operators on manifolds of bounded geometry”, The Maz'ya anniversary collection, v. 2, Oper. Theory Adv. Appl., 110, 1999, 185–226 | MR

[72] Kondratev V. A., Shubin M. A., “Usloviya diskretnosti spektra dlya operatorov Shredingera na mnogoobrazii”, Funkts. anal. i ego prilozh., 33:3 (1999), 85–87 | MR | Zbl

[73] Egorov Y. V., Galaktionov V. A., Kondratiev V. A., Pohozaev S. I., “On the necessary conditions of global existence to a quasilinear inequality in the half-space”, C. R. Acad. Sci. Paris. Ser. I Math., 330:9 (2000), 93–98 | MR | Zbl

[74] Egorov Yu. V., Kondratiev V. A., “On global solutions to a semilinear elliptic boundary problem in an unbounded domain”, Rend. Instit. Mat. Univ. Trieste, 31:2 (2000), 87–102 | MR | Zbl

[75] Egorov Yu. V., Kondratev V. A., “O povedenii reshenii nelineinoi kraevoi zadachi dlya ellipticheskogo uravneniya vtorogo poryadka v neogranichennoi oblasti”, Trudy MMO, 62, 2001, 131–161

[76] Egorov Yu. V., Kondratiev V. A., “On the asymptotic behaviour of solutions to a semilinear elliptic boundary problem”, Funct. Differ. Equ., 8:1–2 (2001), 163–181 | MR | Zbl

[77] Kondratiev V. A., Shubin M. A., “Discreteness of spectrum for the magnetic Schrodinger operators”, Comm. Partial Differential Equations, 27:3–4 (2002), 477–525 | MR | Zbl

[78] Egorov Yu. V., Galaktionov V. A., Kondratiev V. A., Pohozaev S. I., “On the asymptotics of global solutions of higher-order semilinear parabolic equations in the supercritical range”, C. R. Math. Acad. Sci. Paris, 335:10 (2002), 805–810 | MR | Zbl

[79] Astashova I., Filinovskii A., Kondratiev V., Muravey L., “Some problems in the qualitative theory of differential equations”, J. Nat. Geo., 23 (2003), 1–126 | MR | Zbl

[80] Kondratiev V. A., Liskevich V., Sobol Z., “Second-order semilinear elliptic inequalities in exterior domains”, J. Differential Equations, 187 (2003), 429–455 | DOI | MR | Zbl

[81] Kondratiev V. A., “On the existence of positive solutions of second-order semilinear elliptic equations in cylindrical domains”, Russ. J. Math. Phys., 10:1 (2003), 11–20 | MR

[82] Kondratiev V. A., “On the existence of positive solutions of second-order semilinear elliptic equations in unbounded domains”, Functional Differential Equations, 10:1–2 (2003), 283–290 | MR | Zbl

[83] Liskevich V., Kondratiev V. A., Sobol Z., Us O., “Estimates of heat Kernels for a class of second-order elliptic operators with applications to semi-linear inequalities in exterior domains”, J. London Math. Soc. (2), 2:69 (2004), 107–127 | MR

[84] Egorov Yu. V., Galaktionov V. A., Kondratiev V. A., Pohozaev S. I., “Global solutions of higher order parabolic semilinear equations”, Adv. Differential Equations, 9:9–10 (2004), 1009–1038 | MR | Zbl

[85] Kondratiev V. A., Mazya V. G., Shubin M. A., “Discretness and strictly positivity criteria for magnetic Schrodinger Operators”, Comm. Partial Differential Equations, 29:3–4 (2004), 39–52 | MR

[86] Kondratiev V. A., Liskevich V., Moroz V., “Pozitive solutions toperlinear second-order divirgence tipe elliptic equations in cone-like domains”, Ann. Inst. H. Poincaré, 22 (2005), 25–43 | DOI | MR | Zbl

[87] Kondpatev V. A., “O polozhitelnykh pesheniyakh slabo nelineinykh ellipticheskikh upavnenii vtopogo popyadka v tsilindpicheskikh oblastyakh”, Tp. mat. in-ta im. V. A. Steklova, 250, 2005, 183–191 | MR | Zbl

[88] Kondratiev V. A., Liskevich V., Moroz V., Sobol Z., “A critical phenomenon for sublinear elliptic equations in cone-like domains”, Bull. London Math. Soc., 37 (2005), 585–591 | DOI | MR | Zbl

[89] Borsuk M., Kondratiev V., Elliptic boundary value problems of second order piecewise smooth domains, Elsevier Science B. V., Amsterdam, 2006 | MR | Zbl

[90] Kondratiev V. A., “On the asymptotic behavior of weakly nonlinear second-order elliptic equations in a cylindrical domain”, J. Math. Sci. (N.Y.), 142:3 (2007), 2122–2129 | DOI | MR | Zbl

[91] Kondratiev V. A., “On the asymptotic properties of solutions of nonlinear parabolic equations”, J. Math. Sci. (N.Y.), 142:3 (2007), 2130–2137 | DOI | MR | Zbl

[92] Kondratiev V. A., “On the asymptotic behavior of weakly nonlinear second-order elliptic equations in a cylindrical domain”, J. Math. Sci. (N.Y.), 142:3 (2007), 2122–2129 | DOI | MR | Zbl

[93] Kondratev V. A., “Ob asimptoticheskom povedenii reshenii nelineinykh ellipticheskikh i parabolicheskikh uravnenii vtorogo poryadka”, Ukraïnskii matematichnii visnik, 5:1 (2008), 99–115 | MR

[94] Kondratiev V. A., Liskevich V. A., Sobol Z., “Positive solutions to semi-linear and quasi-linear elliptic equations on unbounded domains”, Hand. of Differ. Equ., 6 (2008), 177–267 | MR

[95] Kondratiev V. A., “Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains”, Trans. Amer. Math. Soc., 361:2 (2009), 697–713 | DOI | MR | Zbl

[96] Kondratiev V. A., “The asymptotics of solutions to elliptic equations with nonlinear boundary conditions”, J. Math. Sci. (N.Y.), 164:6 (2010), 896–905 | DOI

[97] Kondratev V. A., “O polozhitelnykh resheniyakh uravneniya teploprovodnosti, udovletvoryayuschikh nelineinomu kraevomu usloviyu”, Diff. ur-ya, 46:8 (2010), 1104–1112