Kirchhoff-type thin plates with mixed boundary conditions
Abstract This paper deals with initial-boundary value problems for a thin quasilinear plate equation. It is shown the global existence of weak and strong solutions, that the energy of the weak solution has an exponential decay rate, and the strong solution is uniformly stable (i.e., the solution’s behaviour changes continuously with the data) and consequently it is unique.
Authors
- M. Milla-Miranda
- C. N. CUNHA (ORCID: https://orcid.org/0000-0002-9391-0235)
- H. R. Clark (ORCID: https://orcid.org/0000-0003-4081-6795)
- A. T. Lourêdo (ORCID: https://orcid.org/0000-0002-5037-4022)
Institutions
- Universidade Federal do Rio de Janeiro (BR)
- Universidade Estadual da Paraíba (BR)
- Universidade Federal do Piauí (BR)
Publication Details
- Journal
- Nonlinear Differential Equations and Applications NoDEA
- Published
- 2026-05-01
- DOI
- https://doi.org/10.1007/s00030-026-01218-y
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior