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EXISTENCE AND GENERAL DECAY FOR A VISCOELASTIC EQUATION WITH LOGARITHMIC NONLINEARITY

  • Ha, Tae Gab (Department of Mathematics and Institute of Pure and Applied Mathematics Jeonbuk National University) ;
  • Park, Sun-Hye (Office for Education Accreditation Pusan National University)
  • Received : 2021.01.28
  • Accepted : 2021.07.05
  • Published : 2021.11.01

Abstract

In the present work, we investigate a viscoelastic equation involving a logarithmic nonlinear source term. After proving the existence of solutions, we establish a general decay estimate of the solution using energy estimates and theory of convex functions. This result extends and complements some previous results of [9, 21].

Keywords

Acknowledgement

The first author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (NRF-2019R1I1A3A01051714). The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2020R1I1A3066250).

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