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Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1 / Stefano Burzio, Joachim Krieger

Von: Mitwirkende(r): Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: American Mathematical Society. Memoirs of the American Mathematical Society ; volume 278, number 1369 (July 2022)Verlag: Providence, RI : American Mathematical Society, [2022]Beschreibung: iii, 75 Seiten : IllustrationenISBN:
  • 9781470453466
Schlagwörter: Andere physische Formen: Kein Titel | 9781470471699 | Erscheint auch als: Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on R3+1. Online-Ausgabe Providence, RI : AMS, American Mathematical Society, 2022. 1 Online-Ressource (iii, 75 Seiten)DDC-Klassifikation:
  • 515/.353 23/eng20220913
MSC: MSC: 35L05 | 35B40RVK: RVK: SI 130LOC-Klassifikation:
  • QA927
Zusammenfassung: "We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation on constructed in Krieger, Schlag, and Tartaru ("Slow blow-up solutions for the critical focusing semilinear wave equation", 2009) and Krieger and Schlag ("Full range of blow up exponents for the quintic wave equation in three dimensions", 2014) are stable along a co-dimension one Lipschitz manifold of data perturbations in a suitable topology, provided the scaling parameter is sufficiently close to the self-similar rate, i. e., is sufficiently small. This result is qualitatively optimal in light of the result of Krieger, Nakamishi, and Schlag ("Center-stable manifold of the ground state in the energy space for the critical wave equation", 2015). The paper builds on the analysis of Krieger and Wong ("On type I blow-up formation for the critical NLW", 2014)"-- Provided by publisherPPN: PPN: 1814905596
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Medientyp Heimatbibliothek Signatur Status
Institutsbestand Fachbibliothek Mathematik Z 57 c Nicht ausleihbar
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