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Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions
Authors:Mingxin Wang
Abstract:This paper deals with the following semilinear parabolic equations with nonlinear boundary conditions u_t - Δu = f(u) - λu,x ∈ Ω, t > 0 frac{∂u}{∂n} = g(u), qquad x ∈ ∂Ω, t > 0 It is proved that every positive equilibrium solution is a threshold.
Keywords:Nonlinear boundary conditions threshold results upper and lower solutions
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