On the Defocusing Semilinear Wave Equations in Three Space Dimension with Small Power

By introducing new weighted vector fields as multipliers, we derive quantitative pointwise estimates for solutions of defocusing semilinear wave equation in $\mathbb {R}^{1+3}$ with pure power nonlinearity for all $1

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Veröffentlicht in:International mathematics research notices 2022-12, Vol.2022 (24), p.19501-19526
Hauptverfasser: Wei, Dongyi, Yang, Shiwu
Format: Artikel
Sprache:eng
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Zusammenfassung:By introducing new weighted vector fields as multipliers, we derive quantitative pointwise estimates for solutions of defocusing semilinear wave equation in $\mathbb {R}^{1+3}$ with pure power nonlinearity for all $1
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnab260