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Vladimir Aleksandrovich Kondrat’ev

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Main scientific publications (2000–2010)

  1. On the Summability in L p of Positive Solutions of Elliptic Equations (together with Eidelman, S.D.), Russ. J. Math. Phys., 2000, vol. 7, no. 2, pp. 206–215.

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  2. On the Necessary Conditions of Global Existence to a Quasilinear Inequality in the Half-Space (together with Egorov, Yu.V., Galaktionov, V.A., and Pohozaev, S.I.), C.R. Math. Acad. Sci. Paris. Ser. I, 2000, pp. 93–98.

  3. Conditions for the Existence of Solutions of a Qusilinear Inequality in a Half-Space (together with Egorov, Yu.V., Galaktionov, V.A., and Pokhozhaev, S.I.), Mat. Zametki, 2000, vol. 67, no. 1, pp. 150–152.

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  4. On the Asymptotic Behavior of Solutions to a Semilinear Elliptic Boundary Problem in an Unbounded Domain (together with Egorov, Yu.), C.R. Math. Acad. Sci. Paris. Ser. I, 2000, pp. 785–790.

  5. On Global Solutions to a Semilinear Elliptic Boundary Problem in an Unbounded Domain (together with Egorov, Yu.), Rend. Instit. Mat. Univ. Trieste, 2000, vol. 31,suppl. 2, pp. 87–102.

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  6. On Asymptotic Properties of Solutions of Nonlinear Parabolic Equations, in Sovremennye metody v teorii kraevykh zadach: Tr. Voronezh. mat. shk. “Pontryaginskie chteniya — XI” (Modern Methods in Theory of Boundary Value Problems. Proc. Voronezh Math. Sem. “Pontryagin Readings-XI”), Voronezh, 2000, pp. 95–108.

  7. On Completeness of Root Functions of an Elliptic Operator on a Manifold with Conical Points (together with Egorov, Yu. and Schulze, B.-W.), C.R. Math. Acad. Sci. Paris. Ser. I, 2001, vol. 333, pp. 551–556.

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  8. On the Asymptotic Behaviour of Solutions of a Semilinear Elliptic Boundary Problem in Unbounded Cone (together with Egorov, Yu.), C.R. Math. Acad. Sci. Ser. I, 2001, vol. 332, pp. 705–710.

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  9. On the Behavior of Solutions of a Nonlinear Boundary Value Problem for a Second-Order Elliptic Equation in an Unbounded Domain (together with Egorov, Yu.V.), Tr. Mosk. Mat. Obs., 2001, vol. 62, pp. 136–161.

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  10. On the Asymptotic Behaviour of Solutions to a Semilinear Elliptic Boundary Problem (together with Egorov, Yu.), Funct. Differ. Equ., 2001, vol. 8, no. 1–2, pp. 163–181.

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  11. On Completeness of Root Functions of Elliptic Boundary Problems in a Domain with Conical Points on the Boundary (together with Egorov, Yu. and Schulze, B.-W.), C.R. Math. Acad. Sci. Paris. Ser. I, 2002, vol. 334, pp. 649–654.

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  12. Discreteness of Spectrum for the Magnetic Schrodinger Operators (together with Shubin, M.), Comm. Partial Differential Equations, 2002, vol. 27, no. 3–4, pp. 477–525.

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  13. On the Behavior of Solutions of Elliptic Equations in a Neighborhood of Crack with Nonsmooth Front (together with Nikishkin, V.), Russ. J. Math. Phys., 2002, vol. 9, no. 1, pp. 106–111.

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  14. On the Asymptotic Behavior of Solutions of a Semilinear Elliptic Boundary Problem in Unbounded Domains (together with Egorov, Yu.V.), Proc. Steklov Inst. Math., 2002, vol. 236, pp. 434–448.

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  15. On Asymptotic Properties of Solutions of Diffusion Equations (together with Bagirov, L.A.), Tr. Semin. im. I.G. Petrovskogo, 2002, vol. 22, pp. 37–70.

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  16. Discreteness of Spectrum for Magnetic Scrödinger Operators, Abstracts, International Conference on Differential and Functional Differential Equations, August 11–17. Moscow, Russia, 2002.

  17. Homogenization of the Lavrent’ev-Bitsadze Equation in a Partially Perforated Domain (together with Chechkin, G.A.), Differ. Uravn., 2002, vol. 38, no. 10, pp. 1390–1396.

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  18. On the Asymptotics of Global Solutions of Higher-Order Semilinear Parabolic Equations in the Supercritical Range (together with Egorov, Yu., Galaktionov, V., and Pohozaev, S.), C.R. Math. Acad. Sci. Paris. Ser. I, 2002, vol. 335, pp. 805–810.

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  19. Some Problems in the Qualitative Theory of Differential Equations (together with Astashova, I., Filinovskii, A., and Muravey, L.), J. Nat. Geom., London: Jnan Bhawan Publishers, 2003, vol. 23.

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  20. Second-Order Semilinear Elliptic Inequalities in Exterior Domains (together with Liskevich, V. and Sobol, Z.), J. Differential Equations, 2003, vol. 187, pp. 429–455.

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  21. On the Existence of Positive Solutions of Second-Order Semilinear Elliptic Equations in Cylindrical Domains, Russ. J. Math. Phys., 2003, vol. 10, no. 1, pp. 11–20.

  22. On the Existence of Positive Solutions of Second-Order Semilinear Elliptic Equations in Unbounded Domains, Funct. Differ. Equ., 2003, vol. 10, no. 1–2, pp. 283–290.

  23. On the Asymptotic Behavior of Solutions of the Lavrent’ev-Bitsadze Equation in a Semi-Perforated Domain (together with Chechkin, G.A.), Differ. Uravn., 2003, vol. 39, no. 5, pp. 645–655.

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  24. On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood a Crack with Nonsmooth Front (together with Nikishkin, V.A.), Georgian Math. J., 2003, vol. 10, no. 3, pp. 543–548.

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  25. Estimates of Heat Kernels for a Class of Second-Order Elliptic Operators with Applications to Semi-Linear Inequalities in Exterior Domains (together with Liskevich, V., Sobol, Z., and Us, O.), J. London Math. Soc., 2004, vol. 69, no. 2, pp. 107–127.

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  26. On the Asymptotic Behavior of Solutions of a Nonlinear Parabolic Boundary Value Problem (together with Egorov, Yu.V.), Dokl. Akad. Nauk, 2004, vol. 397, no. 5, pp. 590–592.

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  27. Global Solutions of Higher Order Parabolic Semilinear Equations (together with Egorov, Yu., Galaktionov, V., and Pohozhaev, S.), Adv. Differential Equations, 2004, vol. 9, no. 9–10, pp. 1009–1038.

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  28. Discreteness and Strictly Positivity Criteria for Magnetic Schrödinger Operators (together with Mazya, V. and Shubin, M.), Comm. Partial Differential Equations, 2004, vol. 29, no. 3–4, pp. 39–52.

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  29. Positive Solutions to Superlinear Second-Order Divergence Type Elliptic Equations in Cone-Like Domains (together with Liskevich, V. and Moroz, V.), Ann. Inst. H. Poincaré, 2005, no. 22, pp. 25–43.

  30. On Positive Solutions of Weakly Nonlinear Second-Order Elliptic Equations in Cylindrical Domains, Tr. Mat. Inst. Steklova, 2005, vol. 250, pp. 183–191.

  31. A Critical Phenomenon for Sublinear Elliptic Equations in Cone-Like Domains (together with Liskevich, V., Moroz, V., and Sobol, Z.), Bull. London Math. Soc., 2005, vol. 37, pp. 585–591.

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  32. Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains (together with Borsuk, M.), North-Holland Math. Library, 2006, vol. 69, pp. 1–531.

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  33. On the Asymptotic Properties of Solutions of Second-Order Semilinear Elliptic Equations in Cylindrical Domains, Tr. Semin. im. I.G. Petrovskogo, 2006, vol. 25, pp. 98–111.

  34. On the Asymptotic Behavior of Solutions of Second-Order Nonlinear Elliptic and Parabolic Equations, Ukr. Mat. Vestn., 2008, vol. 206, no. 1, pp. 99–115.

  35. On the Asymptotic Behavior of Solutions of Semilinear Parabolic Equations (together with Egorov, Yu.V.), Mat. Sb., 2008, vol. 199, no. 4, pp. 65–82.

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  36. On the Asymptotic Behavior of Solutions of Second-Order Nonlinear Parabolic Equations, Tr. Mat. Inst. Steklova, 2008, vol. 260, pp. 180–192.

  37. Positive Solutions to Semi-Linear and Quasi-Linear Elliptic Equations on Unbounded Domains (together with Liskevich, V. and Sobol, Z.), Handb. Differ. Equat. Stationary Partial Differ. Equat., 2008, vol. 6, pp. 177–267.

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  38. Periodic Solutions of a Quasilinear Wave Equation (together with Rudakov, I.A.), Mat. Zametki, 2009, vol. 85, no. 2, pp. 189–203.

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  39. On the Asymptotic Behavior of Solutions of Nonlinear Second-Order Elliptic Equations, Funct. Differ. Equ., 2009, vol. 16, no. 2, pp. 373–381.

  40. Positive Super-Solutions to Semi-Linear Second-Order Nondivergence Type Elliptic Equations in Exterior Domains (together with Liskevich, V. and Sobol, Z.), Trans. Amer. Math. Soc., 2009, vol. 361, pp. 697–713.

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  41. Asymptotics of Solutions of Elliptic Equations with Nonlinear Boundary Conditions, in Sovremennye problemy matematiki i mekhaniki (Modern Problems of Mathematics and Mechanics), 2009, no. 1, pp. 77–87.

  42. On a Certain Nonlinear Boundary Value Problem from the Theory of Heat Blast, Differ. Uravn., 2010, vol. 46, no. 6, pp. 900–901.

  43. On Positive Solutions of the Heat Equation Satisfying a Nonlinear Boundary Condition, Differ. Uravn., 2010, vol. 46, no. 8, pp. 1104–1112.

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Authors
  1. I. V. Astashova
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  2. L. A. Bagirov
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  3. A. V. Filinovskii
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  4. G. V. Grishina
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  5. V. A. Il’in
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  6. A. A. Kon’kov
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  7. V. V. Kozlov
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  8. V. A. Nikishkin
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  9. E. V. Radkevich
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  10. N. Kh. Rozov
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  11. V. A. Sadovnichii
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  12. I. N. Sergeev
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  13. A. S. Shamaev
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Additional information

Original Russian Text © the Editorial Board, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 12, pp. 1806–1812.

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Astashova, I.V., Bagirov, L.A., Filinovskii, A.V. et al. Vladimir Aleksandrovich Kondrat’ev. Diff Equat 46, 1807–1813 (2010). https://doi.org/10.1134/S0012266110120165

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