Type II Blow Up Solutions With Optimal Stability Properties for the Critical Focussing Nonlinear Wave Equation on mathbb R^3+1 (Memoirs of the American Mathematical Society, 278) - Softcover

Burzio, Stefano; Krieger, Joachim

Softcover

ISBN 10: 1470453460 ISBN 13: 9781470453466

Verlag: American Mathematical Society, 2022

Inhaltsangabe

"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)"--

Über diesen Titel

Über die Autorin bzw. den Autor

Stefano Burzio, Ecole Polytechnique Federale de Lausanne, Switzerland.

Joachim Krieger, Ecole Polytechnique Federale de Lausanne, Switzerland.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 1470453460
• ISBN 13: 9781470453466
• Einband: Taschenbuch
• Anzahl der Seiten: 75
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar