A transmission problem for quasi-linear wave equations

Andersson, Lars; Oliynyk, Todd A.

doi:10.1016/j.jde.2013.12.014

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A transmission problem for quasi-linear wave equations

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Andersson, Lars
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1401.0277.pdf
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引用

Andersson, L., & Oliynyk, T. A. (2014). A transmission problem for quasi-linear wave equations. Journal of Differential Equations, 256, 2023-2078. doi:10.1016/j.jde.2013.12.014.

引用: https://hdl.handle.net/11858/00-001M-0000-0029-0064-C

要旨

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.