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: | , |
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1999
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v48_n1_p135_Rial 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. |
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