Localization of blow-up points for a parabolic system with a nonlinear boundary condition

The authors localize the blow-up points of positive solutions of the system μ t = Δu, v t = Δv with conditions ∂u/∂η = f(v), ∂v/∂η = g(u) at the boundary of a bounded smooth domain Θ under some restrictions of f and g and the initial data (Δu 0, Δν 0 >c > 0). If Θ is a ball, the hypoth...

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Autores principales: Rial, D.F., Rossi, J.D.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0009725X_v48_n1_p135_Rial
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Sumario:The authors localize the blow-up points of positive solutions of the system μ t = Δu, v t = Δv with conditions ∂u/∂η = f(v), ∂v/∂η = g(u) at the boundary of a bounded smooth domain Θ under some restrictions of f and g and the initial data (Δu 0, Δν 0 >c > 0). If Θ is a ball, the hypothesis on the initial data can be removed. © 1999 Springer.