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Maxwell-systems with nonlinear polarization
Institution:1. Department of Mathematics, Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27965-8205, USA;2. Department of Mathematical Sciences, University of Wisconsin Milwaukee, Milwaukee, WI 53201-0413, USA;1. Department of orthopaedics, Chinese people''s liberation army general hospital (301 Hospital), Beijing, China;2. Department of orthopaedics, Beijing children''s hospital, capital medical university, national center for children''s health, Beijing, China
Abstract:We establish well-posedness results for a model describing the propagation of high-intensity electromagnetic waves in a nonlinear medium. The nonlinear material properties are represented by a nonlinear polarization in the form of a convolution. We also include some remarks on potential applications.
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