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arXiv · 1401.0277

A transmission problem for quasi-linear wave equations

Lars Andersson·Todd A. Oliynyk
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Abstract

We prove the local existence and uniqueness of solutions to a system of quasi-linear wave equations involving a jump discontinuity in the lower order terms. A continuation principle is also established.

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Lars Andersson, Todd A. Oliynyk. 2014-01-01. A transmission problem for quasi-linear wave equations. https://doi.org/10.1016/j.jde.2013.12.014

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