Stability of Generalized Transition Fronts

作者：Mellet Antoine; Nolen James; Roquejoffre Jean Michel; Ryzhik Lenya^*

来源：Communications in Partial Differential Equations, 2009, 34(6): 521-552.

DOI：10.1080/03605300902768677

• Generalized fronts
• Stability

We study the qualitative properties of the generalized transition fronts for the reaction-diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition fronts are unique up to translation in time and are globally exponentially stable for the solutions of the Cauchy problem. The results hold for reaction rates that have arbitrary spatial variations provided that the rate is uniformly positive and bounded from above.

• 出版日期2009