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On some unsteady motions of a liquid and gas in a porous medium
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Russian
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Barenblatt, G.I.1
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On self-similar motions of a compressible fluid in a porous medium
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4
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0001217997
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The Cauchy problem and boundary-value problems for equations of the type of non-stationary filtration
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Russian
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O. A. Oleǐnik, A. S. Kalashnikov, and Chzhou Yui Lin' [Jou Yuh-lin], "The Cauchy problem and boundary-value problems for equations of the type of non-stationary filtration", Izv. Akad. Nauk SSSR. Ser. Mat. 22 (1958), 667-704. (Russian)
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Oleǐnik, O.A.1
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Formation of singularities in solutions of the equation of non-stationary filtration
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A. S. Kalashnikov, "Formation of singularities in solutions of the equation of non-stationary filtration", Zh. Vychisl. Mat. i Mat. Fiz. 7 (1967), 440-443; English transl. in U.S.S.R. Comput. Math, and Math. Phys. 7 (1967).
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Kalashnikov, A.S.1
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English transl.
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A. S. Kalashnikov, "Formation of singularities in solutions of the equation of non-stationary filtration", Zh. Vychisl. Mat. i Mat. Fiz. 7 (1967), 440-443; English transl. in U.S.S.R. Comput. Math, and Math. Phys. 7 (1967).
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7
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Equations of the type of non-stationary filtration with infinite rate of propagation of perturbations
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Kalashnikov, A.S.1
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English transl.
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A. S. Kalashnikov, "Equations of the type of non-stationary filtration with infinite rate of propagation of perturbations", Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1972:6, 45-49; English transl. in Moscow Univ. Math. Bull. 27 (1972).
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A necessary and sufficient condition for the existence of an interface in flow through porous media
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L. A. Peletier, "A necessary and sufficient condition for the existence of an interface in flow through porous media", Arch. Rational Mech. Anal. 56 (1974), 183-190.
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Estimates on the support of solutions of parabolic variational inequalities
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H. Brezis and A. Friedman, "Estimates on the support of solutions of parabolic variational inequalities", Illinois J. Math. 20:1 (1976), 82-97.
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Solutions with compact support for some degenerate parabolic problems
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Non-linear equations occurring in the theory of non-stationary filtration
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A. S. Kalashnikov, "Non-linear equations occurring in the theory of non-stationary filtration", Trudy Sem. Petrovsk. 1978:4, 137-146. (Russian)
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84971195610
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Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems
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J. I. Diaz and M. A. Herrero, "Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems", Proc. Roy. Soc. Edinburgh. Sect. A, no. 89 (1981), 249-258.
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Local vanishing properties of solutions of elliptic and parabolic quasilinear equations
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J. I. Diaz and L. Veron, "Local vanishing properties of solutions of elliptic and parabolic quasilinear equations", Trans. Amer. Math. Soc. 290 (1985), 787-814.
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On the localization of solutions of nonlinear degenerate elliptic and parabolic equations
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S. N. Antontsev, "On the localization of solutions of nonlinear degenerate elliptic and parabolic equations", Dokl. Akad. Nauk SSSR 260 (1981), 1289-1293; English transl. in Soviet Math. Dokl. 24 (1981).
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S. N. Antontsev, "On the localization of solutions of nonlinear degenerate elliptic and parabolic equations", Dokl. Akad. Nauk SSSR 260 (1981), 1289-1293; English transl. in Soviet Math. Dokl. 24 (1981).
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Qualitative properties for some nonlinear higher order degenerate parabolic equations
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F. Bernis, "Qualitative properties for some nonlinear higher order degenerate parabolic equations", Houston J. Math. 14 (1988), 319-352.
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An analogue of the Saint-Venant principle for a second order elliptic equation, and the uniqueness of the solutions of boundary-value problems in unbounded domains
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G. A. Iosif'yan and O. A. Oleǐnik, "An analogue of the Saint-Venant principle for a second order elliptic equation, and the uniqueness of the solutions of boundary-value problems in unbounded domains", Uspekhi Mat. Nauk 31:6 (1976), 142-166; English transl. in Russian Math. Surveys 31:6 (1976).
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Iosif'yan, G.A.1
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19
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85164645478
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English transl.
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G. A. Iosif'yan and O. A. Oleǐnik, "An analogue of the Saint-Venant principle for a second order elliptic equation, and the uniqueness of the solutions of boundary-value problems in unbounded domains", Uspekhi Mat. Nauk 31:6 (1976), 142-166; English transl. in Russian Math. Surveys 31:6 (1976).
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20
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0001245121
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Estimates for the rate of propagation of perturbations in quasilinear degenerate higher-order parabolic equations in divergence form
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A. E. Shishkov, "Estimates for the rate of propagation of perturbations in quasilinear degenerate higher-order parabolic equations in divergence form", Ukrain. Mat. Zh. 44 (1992), 1451-1456; English transl. in Ukrainian Math. J. 44 (1992).
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85164643681
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A. E. Shishkov, "Estimates for the rate of propagation of perturbations in quasilinear degenerate higher-order parabolic equations in divergence form", Ukrain. Mat. Zh. 44 (1992), 1451-1456; English transl. in Ukrainian Math. J. 44 (1992).
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Dynamics of the geometry of the support of the generalized solution of a higher-order quasilinear parabolic equation in divergence form
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A. E. Shishkov, "Dynamics of the geometry of the support of the generalized solution of a higher-order quasilinear parabolic equation in divergence form", Differentsial'nye Uravneniya 29 (1993), 537-547; English transl in Differential Equations 29 (1993).
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A. E. Shishkov, "Dynamics of the geometry of the support of the generalized solution of a higher-order quasilinear parabolic equation in divergence form", Differentsial'nye Uravneniya 29 (1993), 537-547; English transl in Differential Equations 29 (1993).
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The porous medium equation in one dimension
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The asymptotic behaviour of a gas in an n-dimensional porous medium
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On the propagation properties of a nonlinear degenerate parabolic equation
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M. A. Herrero and J. L. Vazquez, "On the propagation properties of a nonlinear degenerate parabolic equation", Comm. Partial Differential Equations 7 (1982), 1381-1402.
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On the Cauchy problem and initial traces for a degenerate parabolic equation
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On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients
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E. Di Benedetto, "On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients", Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 13 (1986), 487-535.
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