Abstract
The stabilization of the wave equation in a polygonal domain with cracks is analyzed. Using the multiplier method, we show that a boundary stabilization augmented by an internal one concentrated in a small neighbourhood of the cracks lead to the exponential stability of the problem.
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Bayili, G., Nicaise, S. Stabilization of the wave equation in a polygonal domain with cracks. Rev Mat Complut 27, 259–289 (2014). https://doi.org/10.1007/s13163-012-0113-z
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DOI: https://doi.org/10.1007/s13163-012-0113-z