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- W2771420184 abstract "It is well-known that in dimensions at least three semilinear wave equations with null conditions admit global solutions for small initial data. It is also known that in dimension two such result still holds for a certain class of quasi-linear wave equations with null conditions. The proofs are based on the decay mechanism of linear waves. However, in one dimension, waves do not decay. Nevertheless, we will prove that small data still lead to global solutions if the null condition is satisfied." @default.
- W2771420184 created "2017-12-22" @default.
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- W2771420184 date "2017-12-13" @default.
- W2771420184 modified "2023-09-23" @default.
- W2771420184 title "On one-dimension semi-linear wave equations with null conditions" @default.
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- W2771420184 doi "https://doi.org/10.48550/arxiv.1712.05076" @default.
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