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- W2148743479 abstract "We consider the semilinear parabolic system with absorption terms in a bounded domain Ω of R N � ut − ∆ u + |v| p |u| k−1 u = 0, in Ω × (0, ∞), vt − ∆ v + |u| q |v| � −1 v = 0, in Ω × (0, ∞), u(0) = u0, v(0) = v0 ,i nΩ, where p, q> 0a ndk, � 0, with Dirichlet or Neuman conditions on ∂Ω × (0, ∞). We study the existence and uniqueness of the Cauchy problem when the initial data are L 1 functions or bounded measures. We find invariant regions when u0, v0 are nonnegative, and give sufficient conditions for positivity or extinction in finite time." @default.
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- W2148743479 date "2003-01-01" @default.
- W2148743479 modified "2023-10-17" @default.
- W2148743479 title "On a semilinear parabolic system of reaction-diffusion with absorption" @default.
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