Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Threshold Results for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

Year:    1995

Author:    Mingxin Wang

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 273–280

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1995-JPDE-5659

Journal of Partial Differential Equations, Vol. 8 (1995), Iss. 3 : pp. 273–280

Published online:    1995-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Nonlinear boundary conditions

Author Details

Mingxin Wang