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M. Crandall, P. Bénilan (1980)
Regularizing Effects of Homogeneous Evolution Equations
A. Lacey, J. Ockendon, A. Tayler (1982)
“Waiting-time” Solutions of a Nonlinear Diffusion EquationSiam Journal on Applied Mathematics, 42
P. Bénilan, Noureddine Igbida (2000)
Limite de la solution de ut-um + div F(u)=0 lorsque m (r)¥Revista Matematica Complutense, 13
P. Bénilan, L. Boccardo, M. Herrero (1989)
On the limit of solutions of ut=Δum as m→∞
A. Friedman, K. Höllig (1987)
On the mesa problemJournal of Mathematical Analysis and Applications, 123
P. Bénilan, L. Evans, Ronald Gariepy (2003)
On some singular limits of homogeneous semigroupsJournal of Evolution Equations, 3
(1983)
A Strong Regularity Lp For Solutions of the Porous Media Equation
(1995)
Quelques remarques sur la convergence singulière des semi-groupes linéaires
H. Brezis, A. Pazy (1972)
Convergence and approximation of semigroups of nonlinear operators in Banach spacesJournal of Functional Analysis, 9
L. Caffarelli, A. Friedman (1987)
Asymptotic behavior of solutions of ut=Δum as m→∞Indiana University Mathematics Journal, 36
O. Gil, F. Quirós (2003)
Boundary layer formation in the transition from the porous media equation to a hele-shaw flowAnnales De L Institut Henri Poincare-analyse Non Lineaire, 20
(1981)
The Continuous Dependence on φ of Solutions of ut − φ(u) = 0, Ind
Y. Zel’dovich, Y. Raizer, W. Hayes, R. Probstein, S. Gill (2002)
Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena
(1996)
Singular Limit for Perturbed Nonlinear Semigroup
P. Bénilan, N. Igbida (2004)
The mesa problem for Neumann boundary value problemJournal of Differential Equations, 196
O. Gil, F. Quirós (2001)
Convergence of the porous media equation to Hele-ShawNonlinear Analysis-theory Methods & Applications, 44
Noureddine Igbida (1997)
Limite singuliere de problemes d'evolution non-lineaires
N. Igbida (2002)
The mesa-limit of the porous-medium equation and the Hele-Shaw problemDifferential and Integral Equations
F. Quirós, J. Vázquez (2001)
Asymptotic convergence of the Stefan problem to Hele-ShawTransactions of the American Mathematical Society, 353
C. Elliott, M. Herrero, J. King, J. Ockendon (1986)
The mesa problem: diffusion patterns for ut=⊇. (um⊇u) as m→+∞Ima Journal of Applied Mathematics, 37
L. Evans, M. Feldman, Ronald Gariepy (1997)
Fast/slow diffusion and collapsing sandpilesJournal of Differential Equations, 137
E. DiBenedetto, A. Friedman (1984)
The ill-posed Hele-Shaw model and the Stefan problem for supercooled waterTransactions of the American Mathematical Society, 282
P. Bénilan, M. Crandall, P. Sacks (1988)
SomeL1 existence and dependence results for semilinear elliptic equations under nonlinear boundary conditionsApplied Mathematics and Optimization, 17
In this paper, we study the limit as $ m\to\infty $ of changing sign solutions of the porous medium equation: $ u_t=\Delta: \vert u\vert^{m-1}u $ in a domain $ \Omega $ of $ \mathbb{R}^N $ , with Dirichlet boundary condition.
Journal of Evolution Equations – Springer Journals
Published: Jun 1, 2003
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