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- W3100923557 abstract "In this paper, we show that one-dimension systems of quasilinear wave equations with null conditions admit global classical solutions for small initial data. This result extends Luli, Yang and Yu’s seminal work (Luli et al. in Adv Math 329:174–188, 2018) from the semilinear case to the quasilinear case. Furthermore, we also prove that the global solution is asymptotically free in the energy sense. In order to achieve these goals, we will employ Luli, Yang and Yu’s weighted energy estimates with positive weights, introduce some space-time weighted energy estimates and pay some special attentions to the highest order energies, then use some suitable bootstrap process to close the argument." @default.
- W3100923557 created "2020-11-23" @default.
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- W3100923557 date "2020-05-08" @default.
- W3100923557 modified "2023-09-30" @default.
- W3100923557 title "On one-dimension quasilinear wave equations with null conditions" @default.
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- W3100923557 doi "https://doi.org/10.1007/s00526-020-01761-1" @default.
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