Volume 8, Issue 3
Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Mingxin Wang

J. Part. Diff. Eq., 8 (1995), pp. 273-280.

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  • 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.

  • History

Published online: 1995-08

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