Joly, PatrickRodríguez García, Jerónimo2024-02-092024-02-092017Joly, P., & Rodríguez, J. (2017). Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Journal of Integral Equations and Applications, 29(1), 137-187. https://doi.org/10.1216/JIE-2017-29-1-1370897-3962http://hdl.handle.net/10347/32691In this work, we provide a review of recent results on the mathematical analysis of space-time variational bilinear forms associated to transient boundary integral operators for the wave equation. Most of the results will be proven directly in the time domain and compared to similar results (most of them obtained in the Laplace domain) that can be found in the literature.engCopyright © 2017 Rocky Mountain Mathematics Consortiumhttp://creativecommons.org/licenses/by-nc-nd/4.0/Retarded potentialsIntegral equationsTransient wave equationStabilityCoercivityBEM-FEM couplingjournal article10.1216/JIE-2017-29-1-137open access