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- W2023139743 abstract "Abstract In this paper, we study the following degenerate parabolic problem: (0.1) ( P t ) { ∂ t u = Δ ϕ ( u ) + m ( x ) u in ( 0 , + ∞ ) × R n u ( t , x ) → | x | → + ∞ 0 ; u ( 0 , x ) = u 0 ( x ) in R n where m is a continuous function which could be negative in a bounded set of R n and ϕ a C 1 convex increasing function. Under additive conditions, we prove the uniqueness of the positive stationary solution and, then, give the asymptotic behaviour of solutions to ( P t ) when t → + ∞ ." @default.
- W2023139743 created "2016-06-24" @default.
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- W2023139743 date "2007-05-01" @default.
- W2023139743 modified "2023-10-01" @default.
- W2023139743 title "Attractivity properties of nonnegative solutions for a degenerate parabolic equation in the whole space" @default.
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- W2023139743 doi "https://doi.org/10.1016/j.na.2006.02.031" @default.
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