Γ-limit for the extended Fisher-Kolmogorov equation
Γ-limit for the extended Fisher-Kolmogorov equation
We consider the Lyapunov functional,of the rescaled Extended Fisher{Kolmogorov equationThis is a fourth order generalization of the Fisher{Kolmogorov or Allen{Cahn equation.We prove that if " !0, then E ® " tends to the area functional in the sense of ¡ -limits, where the transition energy is given by the one-dimensional …