Life span of solutions of a weakly coupled parabolic system |
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| Authors: | Flávio Dickstein Miguel Loayza |
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| Affiliation: | (1) Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21944–970 Rio de Janeiro, R.J., Brazil;(2) Departamento de Matemática, Universidade Federal de Pernambuco, 50740–540 Recife, P.E., Brazil |
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| Abstract: | We consider the Cauchy problem for the weakly coupled parabolic system ∂ t w λ−Δ w λ = F(w λ) in R N , where λ > 0, w λ = (u λ, v λ), F(w λ) = (v λ p , u λ q ) for some p, q ≥ 1, pq > 1, and  , for some nonnegative functions φ1, φ2  C 0(R N ). If (p, q) is sub-critical or either φ1 or φ2 has slow decay at ∞, w λ blows up for all λ > 0. Under these conditions, we study the blowup of w λ for λ small. |
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| Keywords: | 35B45 35B30 35B40 35K45 35K57 |
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