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May 7, 2026Open Access

Kirchhoff-type thin plates with mixed boundary conditions

Key Points

The aim is to investigate initial-boundary value problems for a thin quasilinear plate equation.
Examining mixed boundary conditions
Analyzing weak and strong solutions
Assessing energy decay rates
Demonstrating solution stability
Global existence of weak and strong solutions is established
Weak solution energy shows exponential decay
Strong solution is uniformly stable and unique

Abstract

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.

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Authors

H

H. R. Clark

C

C. N. CUNHA

A

A. T. Lourêdo

Journals

Nonlinear Differential Equations and Applications NoDEA

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Institutions

Universidade Federal do Rio de Janeiro

Universidade Federal do Piauí

Universidade Estadual da Paraíba

References and Citations

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Kirchhoff-type thin plates with mixed boundary conditions | Synapse

Cite this study

Clark et al. (Fri,) studied this question.

www.synapsesocial.com/papers/69fbefef164b5133a91a415e — DOI: https://doi.org/10.1007/s00030-026-01218-y