On energy wave equations with non-negative non-linear terms. (June 2016)

• Record Type: Journal Article
• Authors: Milla Miranda, M.; Louredo, A.T.; Clark, M.R.; Clark, H.R.
• Is Part Of: International journal of non-linear mechanics. Volume 82(2016)
• Page Start: 6
• Page End: 16
• Publication Date: 2016-06
• Subjects: Existence of solutions -- Uniform stabilization -- Non-linear system with non-negative terms; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2015.12.007
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: This paper deals with the existence of at least one solution and the uniform stabilization of the energy of an initial-boundary value problem for a non-linear wave equation with non-linear boundary condition of the feedback type. The non-linearities in both waves and boundary equations behave as functions of the type | u | R ϱ for ϱ > 1 . Abstract : Highlights: Results on existences of global solutions. Special conditions where there is uniqueness of solutions. One rate of uniform stability for the energy.