Asymptotic behaviour of solutions of some nonlinear parabolic or elliptic equations
| Autor: | Kondratiev, V.A., Véron, L. |
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| Zdroj: | Asymptotic Analysis; January 1997, Vol. 14 Issue: 2 p117-156, 40p |
| Abstrakt: | We study the asymptotic behaviour of the solutions of the parabolic equation (1) ∂u/∂t−Lu+ax|u|q−1u=0 or the elliptic equation (2) ∂2u/∂t2+Lu−ax|u|q−1u=0 in Ω×0,∞ when Ω is bounded, u satisfies the Neumann boundary condition in ∂Ω×0,∞,L is a linear strongly elliptic operator in Ω,q is bigger than 1 and ax≥0. We also study the vanishing property of t$\mapsto $u(x,t) when 0 < q < 1. |
| Databáze: | Supplemental Index |
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