Reachability of a second-order integro-differential equation on Riemannian manifold for a viscoelasticity mod
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Date
2019-02-20
Authors
Zhou, Kang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We study a reachability problem for a second-order integro-differential equation on a finite-dimensional Riemannian manifold, which is a model equation for viscoelasiticity. We apply a Carleman estimate for the wave equations on Riemannian manifolds to establish the observability inequality.
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Keywords
Reachability, Integro-differential equation, Carleman estimates, Riemannian wave
Citation
Zhou, K. (2019). Reachability of a second-order integro-differential equation on Riemannian manifold for a viscoelasticity mod. <i>Electronic Journal of Differential Equations, 2019</i>(31), pp. 1-16.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.