Uniqueness of wave speeds in bistable reaction–diffusion equations. (March 2022)

• Record Type: Journal Article
• Authors: Huang, Yanli; Lin, Guo; Pan, Shuxia
• Is Part Of: Applied mathematics letters. Volume 125(2022)
• Publication Date: 2022-03
• Subjects: Bistable equations -- Upper and lower solutions -- Degenerate case; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107754
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This article studies the uniqueness of wave speeds of traveling wave solutions in bistable reaction–diffusion equations, in which the degenerate condition at steady states is admissible and the diffusion operator may be the Laplacian, discrete lattice or integral form. By upper and lower solutions method, we prove the uniqueness of wave speeds and strict monotonicity of traveling wave solutions.