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Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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The interface between regions where u<0 andu > 0in the porous medium equation

M. Bertsch Dipartimento di Matematica, Universita di Torino Via Principe Amedeo, Torino, 10123, Italy
&
D. Hilhorst Laboratoire d'Analyse Numerique, CNRS et Universite Paris-Sud, Orsay, 91405, France, Batiment 425
Pages 111-130 | Received 07 Aug 1990, Published online: 02 May 2007

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Douglas Anderson , Richard Avery & Johnny Henderson. (2004) Existence of Solutions for a One Dimensional p-Laplacian on Time-Scales. Journal of Difference Equations and Applications 10:10, pages 889-896.
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Articles from other publishers (8)

Edoardo Mainini. (2012) On the signed porous medium flow. Networks and Heterogeneous Media 7:3, pages 525-541.
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Jesus Ildefonso Díaz & Sergey Shmarev. (2008) Lagrangian Approach to the Study of Level Sets: Application to a Free Boundary Problem in Climatology. Archive for Rational Mechanics and Analysis 194:1, pages 75-103.
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Douglas R. Anderson. (2008) Existence of solutions for a first-order p-Laplacian BVP on time scales. Nonlinear Analysis: Theory, Methods & Applications 69:12, pages 4521-4525.
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Ki-ahm Lee, Arshak Petrosyan & Juan Luis Vázquez. (2006) Large-time geometric properties of solutions of the evolution p-Laplacian equation. Journal of Differential Equations 229:2, pages 389-411.
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Shigeru Sakaguchi. (2002) Regularity of the Interfaces with Sign Changes of Solutions of the One-Dimensional Porous Medium Equation. Journal of Differential Equations 178:1, pages 1-59.
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Anvarbek M. Meirmanov, Vladislav V. Pukhnachov & Sergei I. Shmarev. 1997. Evolution Equations and Lagrangian Coordinates. Evolution Equations and Lagrangian Coordinates.
Sergei I. Shmarev & Juan L. Vazquez. (1996) The regularity of solutions of reaction-diffusion equations via Lagrangian coordinates. Nonlinear Differential Equations and Applications NoDEA 3:4, pages 465-497.
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Jesus Ildefonso Diaz, Toshitaka Nagai & Sergei I. Shmarev. (1996) On the interfaces in a nonlocal quasilinear degenerate equation arising in population dynamics. Japan Journal of Industrial and Applied Mathematics 13:3, pages 385-415.
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