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Large-Time Behaviour of Solutions of the Exterior-Domain Cauchy–Dirichlet Problem for the Porous Media Equation with Homogeneous Boundary Data

✍ Scribed by B. H. Gilding; J. Goncerzewicz

Publisher
Springer Vienna
Year
2006
Tongue
English
Weight
232 KB
Volume
150
Category
Article
ISSN
0026-9255

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We study the Dirichlet problem for a system of nonlinear elliptic equations of Leray-Lions type in a sequence of domains (s) , s = 1, 2, . . ., with fine-grained boundaries. Under appropriate structure conditions on the system and the geometry of (s) , we prove that the sequence of solutions of the