A GENERAL DECAY RESULT FOR A VON KARMAN EQUATION WITH MEMORY AND ACOUSTIC BOUNDARY CONDITIONS

Sun-Hye Park

doi:10.11948/20200460

2022 Volume 12 Issue 1

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Sun-Hye Park. A GENERAL DECAY RESULT FOR A VON KARMAN EQUATION WITH MEMORY AND ACOUSTIC BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(1): 17-30. doi: 10.11948/20200460

Citation:

Sun-Hye Park. A GENERAL DECAY RESULT FOR A VON KARMAN EQUATION WITH MEMORY AND ACOUSTIC BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2022, 12(1): 17-30. doi: 10.11948/20200460

A GENERAL DECAY RESULT FOR A VON KARMAN EQUATION WITH MEMORY AND ACOUSTIC BOUNDARY CONDITIONS

Sun-Hye Park^1, ,

1.
Office for Education Accreditation, Pusan National University, Busan 46241, South Korea

Corresponding author: Email: sh-park@pusan.ac.kr(S.-H. Park)
Fund Project: This work was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2020R1I1A3066250)

Abstract

Abstract

We study a viscoelastic von Karman equation of memory type with acoustic boundary conditions. Utilizing some properties of convex functions and the perturbed energy method, we build a general decay result when the kernel function $ k $ is a very general type. This work extends and complements some previous decay results of solutions for von von Karman equations.
- Von Karman equation /
- general decay /
- convex function /
- acoustic boundary condition
MSC: 35B40, 35L70, 74D99

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