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- W3090660127 abstract "We prove the existence of the modified wave operators for a scalar quasilinear wave equation satisfying the weak null condition. This is accomplished in three steps. First, we derive a new reduced asymptotic system for the quasilinear wave equation by modifying H{o}rmander's method. Next, we construct an approximate solution, by solving our new reduced system given some scattering data at infinite time. Finally, we prove that the quasilinear wave equation has a global solution which agrees with the approximate solution at infinite time." @default.
- W3090660127 created "2020-10-08" @default.
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- W3090660127 date "2021-02-18" @default.
- W3090660127 modified "2023-10-16" @default.
- W3090660127 title "Modified Wave Operators for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition" @default.
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- W3090660127 doi "https://doi.org/10.1007/s00220-021-03989-0" @default.
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