SU\G(𝔸)/K·U

Limiting Behavior of Solutions of $\bf u_t=\D u^m$ as $\bf m\to\infty$

Paul Sacks

Type: Article

Publication Date: 1991-06-01

Citations: 3

DOI: https://doi.org/10.1216/rmjm/1181072966

Abstract

ÊÇ Ã ÅÇÍAEÌ ÁAE

Locations

  • Rocky Mountain Journal of Mathematics - View - PDF

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+ Singular limit of solutions of the p-Laplacian equation 2001 Qing Yi
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+ Asymptotic behavior of the solutions of the p-Laplacian equation 2006 Liqin Zhang
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+ Singular limit of solutions of the generalized p-Laplacian equation 1995 Kin Ming Hui

Works Cited by This (7)

Action Title Year Authors
+ A singular limit problem for the porous medium equation 1989 Paul Sacks
+ On the mesa problem 1987 Avner Friedman
Klaus Höllig
+ Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure 1982 Michel Pierre
+ The Mesa Problem: Diffusion Patterns for <i>u<sub>t</sub></i> = ∇ · (<i>u<sup>m</sup></i>∇<i>u</i>) as m → +∞ 1986 Charles M. Elliott
Miguel A. Herrero
John R. King
J. R. Ockendon
+ On a semilinear equation in ℝ<sup>2</sup>involving bounded measures 1983 Juan Luís Vázquez
+ Asymptotic behaviour of solutions of hyperbolic conservation laws <i>u</i><sup><i>t</i></sup> + (<i>u</i><sup><i>m</i></sup>)<sub><i>x</i></sub> = 0 as <i>m</i> → ∞ with inconsistent initial values 1989 Xiangsheng Xu
+ Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations 1978 Lawrence C. Evans