Advances in Operator Theory

On an elasto-acoustic transmission problem in anisotropic‎, ‎inhomogeneous media

Rainer Picard

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‎We consider a coupled system describing the interaction between acoustic and elastic regions‎, ‎where the coupling occurs not via material properties but through an interaction on an interface separating the two regimes‎. ‎Evolutionary well-posedness in the sense of Hadamard well-posedness supplemented by causal dependence is shown for a natural choice of generalized interface conditions‎. ‎The results are obtained in a real Hilbert space setting incurring no regularity constraints on the boundary and almost none on the interface of the underlying regions‎.

Article information

Adv. Oper. Theory, Volume 3, Number 4 (2018), 816-828.

Received: 1 March 2018
Accepted: 12 June 2018
First available in Project Euclid: 7 July 2018

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Digital Object Identifier

Primary: 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
Secondary: 46E40‎ ‎35L50‎ ‎74F10

Hilbert space methods‎ evolutionary systems‎‎ ‎‎operator coefficient‎s transmission problems ‎aeroelasticity


Picard, Rainer. On an elasto-acoustic transmission problem in anisotropic‎, ‎inhomogeneous media. Adv. Oper. Theory 3 (2018), no. 4, 816--828. doi:10.15352/aot.1803-1323.

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