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Shmarev Sergei Ivanovich

Publications in Math-Net.Ru

  1. On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity

    Trudy Mat. Inst. Steklova, 270 (2010),  33–48
  2. Extinction of Solutions of Parabolic Equations with Variable Anisotropic Nonlinearities

    Trudy Mat. Inst. Steklova, 261 (2008),  16–25
  3. Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity

    Fundam. Prikl. Mat., 12:4 (2006),  3–19
  4. On localization of solutions of elliptic equations with nonhomogeneous anisotropic degeneracy

    Sibirsk. Mat. Zh., 46:5 (2005),  963–984
  5. Properties of free boundaries for a class of degenerate parabolic equations in filtration theory

    Dokl. Akad. Nauk, 326:3 (1992),  431–435
  6. A local energy method and vanishing of weak solutions of nonlinear parabolic equations

    Dokl. Akad. Nauk SSSR, 318:4 (1991),  777–781
  7. The instantaneous origin of singularities in a solution of a degenerate parabolic equation

    Sibirsk. Mat. Zh., 31:4 (1990),  166–179
  8. Self-similar solution of the multidimensional Stefan problem

    Dokl. Akad. Nauk SSSR, 288:1 (1986),  95–99
  9. A multi-dimensional self-similar Stefan problem in linearized statement

    Differ. Uravn., 21:9 (1985),  1641–1642


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