Items related to Type II blow up solutions with optimal stability properties...

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) - Softcover

Stefano Burzio (author)|Joachim Krieger (author)

 
9781470453466: 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)
Softcover
ISBN 10: 1470453460 ISBN 13: 9781470453466
Publisher: American Mathematical Society, 2022

Synopsis

"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)"--

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About the Author

Stefano Burzio, Ecole Polytechnique Federale de Lausanne, Switzerland.

Joachim Krieger, Ecole Polytechnique Federale de Lausanne, Switzerland.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2022
Language
English
ISBN 10 
1470453460
ISBN 13 
9781470453466
Binding
Paperback
Number of pages
75