We extend the result of Kowalczyk, Martel, and Muñoz [J. Eur. Math. Soc. (JEMS), 24 (2022), pp. 2133–2167] on the existence, in the context of spatially even solutions, of asymptotic stability on a center hypersurface at the soliton of the defocusing power nonlinear Klein–Gordon equation with , to the case . The result is attained performing new and refined estimates that allow us to close the argument for power law in the range .
On Asymptotic Stability on a Center Hypersurface at the Soliton for Even Solutions of the Nonlinear Klein–Gordon Equation When \(\boldsymbol{2 \ge p \gt \frac{5}{3}}\)
Scipio CuccagnaPrimo
;Masaya MaedaSecondo
;Federico MurgantePenultimo
;Stefano Scrobogna
Ultimo
2024-01-01
Abstract
We extend the result of Kowalczyk, Martel, and Muñoz [J. Eur. Math. Soc. (JEMS), 24 (2022), pp. 2133–2167] on the existence, in the context of spatially even solutions, of asymptotic stability on a center hypersurface at the soliton of the defocusing power nonlinear Klein–Gordon equation with , to the case . The result is attained performing new and refined estimates that allow us to close the argument for power law in the range .File in questo prodotto:
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