Stability and Instability of Traveling Wave Solutions to Nonlinear Wave Equations
نویسندگان
چکیده
Abstract In this paper, we study the stability and instability of plane wave solutions to semilinear systems equations satisfying null condition. We identify a condition that allows us prove global nonlinear asymptotic wave. The proof requires analyze geometry interaction between background perturbation. When is not met, are able linear assuming an additional genericity shown using geometric optics ansatz.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab250