Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels

@article{Shomberg2020WeakEA,
  title={Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels},
  author={Joseph L. Shomberg},
  journal={Topological Methods in Nonlinear Analysis},
  year={2020}
}
  • Joseph L. Shomberg
  • Published 28 September 2019
  • Mathematics
  • Topological Methods in Nonlinear Analysis
The well-posedness of a generalized Coleman--Gurtin equation equipped with dynamic boundary conditions with memory was recently established by C.G. Gal and the author. Additionally, it was established by the author that the problem admits a finite dimensional global attractor and a robust family of exponential attractors in the case where singularly perturbed memory kernels defined on the interior of the domain and on the boundary of the domain coincide. In the present article we report… 

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