Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Authors

  • Mingxin Wang Department of Mathematics, Southeast University, Nanjing 210018, China

Keywords:

Nonlinear boundary conditions;threshold results;upper and lower solutions

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.

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Published

1995-08-01

Issue

Vol. 8 No. 3 (1995)

Section

Articles