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Blow-up for a reaction-diffusion equation with variable coefficient. (English) Zbl 1254.35029
Summary: We study the blow-up behavior for positive solutions of a reaction-diffusion equation with nonnegative variable coefficient. When there is no stationary solution, we show that the solution blows up in finite time. Under certain conditions, we then show that any point with zero source cannot be a blow-up point.
MSC:
35B44Blow-up (PDE)
35K57Reaction-diffusion equations
35K20Second order parabolic equations, initial boundary value problems
35B09Positive solutions of PDE
Keywords:
blow-up point
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