Asymptotic completeness for a scalar quasilinear wave equation satisfying the weak null condition / Dongxiao Yu

Von:

Yu, Dongxiao [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 298, number 1492 (June 2024)Verlag: Providence : American Mathematical Society, June 2024Beschreibung: v, 128 SeitenISBN:

9781470470487

Schlagwörter:

Andere physische Formen: 9781470478582 | Erscheint auch als: Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition. Online-Ausgabe 1st ed. Providence : American Mathematical Society, 2024. 1 online resource (140 pages) | Erscheint auch als: Asymptotic completeness for a scalar quasilinear wave equation satisfying the weak null condition. Online-Ausgabe Providence : American Mathematical Society, 2024. 1 Online-Ressource (v, 128 Seiten)MSC: MSC: 35L70RVK: RVK: SI 130LOC-Klassifikation:

QA300

Zusammenfassung: Abstract: In this paper, we prove the first asymptotic completeness result for a scalar quasilinear wave equation satisfying the weak null condition. The main tool we use in the study of this equation is the geometric reduced system introduced in Yu (Modified wave operators for a scalar quasilinear wave equation satisfying the weak null condition, 2021). Starting from a global solution u to the quasilinear wave equation, we rigorously show that well chosen asymptotic variables solve the same reduced system with small error terms. This allows us to recover the scattering data for our system, as well as to construct a matching exact solution to the reduced system.PPN: PPN: 1903904900

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status
Institutsbestand	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Z 57 c-298.2024,1492	Nicht ausleihbar

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