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Well-posedness for Systems Representing Electromagnetic/Acoustic Wavefront Interaction

Published online by Cambridge University Press:  15 August 2002

H. T. Banks  and
J. K. Raye
H. T. Banks
Affiliation:
Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA; htbanks@eos.ncsu.edu.
J. K. Raye
Affiliation:
Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA; htbanks@eos.ncsu.edu.
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Abstract

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.

Keywords

Electromagnetic interrogationacoustic wave reflectorsexistence and uniqueness.

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 105 - 125
Copyright
© EDP Sciences, SMAI, 2002

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