Abstract
We study the statement and solution of initial and initial-boundary value problems for the wave equation with complex velocity. This equation models wave propagation in heterogeneous (in particular, fractured) media, and the solutions of the equation describe both the scattered field generation and the incident field damping. We construct the solutions of the corresponding problems in ℝ1 and ℝ3 and prove their uniqueness.
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Original Russian Text © A.V. Baev, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 2, pp. 183–192.
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Baev, A.V. Statement and solution of problems for the wave equation with complex velocity. Diff Equat 51, 186–195 (2015). https://doi.org/10.1134/S0012266115020044
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DOI: https://doi.org/10.1134/S0012266115020044