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7 Result(s)

within S. P. Degtyarev Remove this filter English Remove this filter Algebra Remove this filter Applications of Mathematics Remove this filter Geometry Remove this filter

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  1. No Access

    Article

    On the instantaneous shrinking of the support of a solution to the Cauchy problem for an anisotropic parabolic equation

    We study the phenomenon of instantaneous shrinking of the support of solution to the Cauchy problem for the parabolic equation with anisotropic degeneration, double nonlinearity, and strong absorption. In term...

    S. P. Degtyarev in Ukrainian Mathematical Journal (2009)

  2. No Access

    Article

    On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain

    We prove the existence and uniqueness of a classical solution of a singular elliptic boundary-value problem in an angular domain. We construct the corresponding Green function and obtain coercive estimates for...

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (2007)

  3. No Access

    Article

    Bilateral estimates for the support of a solution of the Cauchy problem for an anisotropic quasilinear degenerate equation

    We establish exact-order bilateral estimates for the size of the support of a solution of the Cauchy problem for a doubly nonlinear parabolic equation with anisotropic degeneration in the case where the initia...

    S. P. Degtyarev, A. F. Tedeev in Ukrainian Mathematical Journal (2006)

  4. No Access

    Article

    Influence of the inhomogeneity of porous media on the instantaneous compactification of the support of solution of the filtration problem

    We study the phenomenon of instantaneous compactification and the initial behavior of the support of solution of the filtration equation for inhomogeneous porous media.

    S. P. Degtyarev in Ukrainian Mathematical Journal (2006)

  5. No Access

    Article

    Stefan problem with a kinetic and the classical conditions at the free boundary

    The Stefan problem is considered with the kinetic condition u+=u−=ɛk(y, τ)-ɛv at the phase interface, where k(y, τ) is the half-sum of the principal curvatures of the free boundary and v is the speed of its shift...

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (1992)

  6. No Access

    Article

    Solvability of a problem with an unknown boundary between the domains of a parabolic and an elliptic equations

    B. V. Bazalii, S. P. Degtyarev in Ukrainian Mathematical Journal (1989)

  7. No Access

    Article

    Existence of a smooth solution in a filtration problem

    V. N. Gusakov, S. P. Degtyarev in Ukrainian Mathematical Journal (1989)