In this paper we consider dispersive electromagnetic systems in dielectric materials in the presence of acoustic wavefronts. A theory for existence, uniqueness, and continuous dependence on data is presented for a general class of systems which include acoustic pressure-dependent Debye polarization models for dielectric materials.

Classification: 35Q60

Keywords: electromagnetic interrogation, acoustic wave reflectors, existence and uniqueness

@article{COCV_2002__8__105_0, author = {Banks, H. T. and Raye, J. K.}, title = {Well-posedness for systems representing electromagnetic/acoustic wavefront interaction}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, publisher = {EDP-Sciences}, volume = {8}, year = {2002}, pages = {105-125}, doi = {10.1051/cocv:2002019}, zbl = {1068.35165}, mrnumber = {1932946}, language = {en}, url = {http://www.numdam.org/item/COCV_2002__8__105_0} }

Banks, H. T.; Raye, J. K. Well-posedness for systems representing electromagnetic/acoustic wavefront interaction. ESAIM: Control, Optimisation and Calculus of Variations, Volume 8 (2002) , pp. 105-125. doi : 10.1051/cocv:2002019. http://www.numdam.org/item/COCV_2002__8__105_0/

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