Classification of radial solutions of the focusing, energy-critical wave equation

By Thomas Duyckaerts, Carlos E. Kenig, F. Merle. 2012

226 citations recorded by the source corpus.

In this paper, we describe the asymptotic behaviour of globally defined solutions and of bounded solutions blowing up in finite time of the radial energy-critical focusing non-linear wave equation in three space dimension.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6f8cf65be66a9373c65954e8d6bd552dcdb3c53b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Raphael Cote
2. B. Dodson
3. A. Lawrie
4. Hao Jia
5. Carlos E. Kenig
6. Aynur Bulut
7. Gunther Uhlmann
8. Zhongwei Shen

In Control and Systems Engineering

1. Raphael Cote
2. B. Dodson
3. A. Lawrie
4. Hao Jia
5. Carlos E. Kenig
6. Felipe Linares
7. Jean-Claude Saut
8. Tai-Peng Tsai

In Mathematical Physics

1. Raphael Cote
2. B. Dodson
3. A. Lawrie
4. Hao Jia
5. Carlos E. Kenig
6. F. Merle
7. Aynur Bulut
8. Gunther Uhlmann

Citations in the corpus

• Asymptotic decomposition for semilinear Wave and equivariant wave map equations (2015, background): “To distinguish, we call outer energy inequality specifically the inequality of the type in [13, 15] for the linear wave equations.”
• Scattering for the radial 3D cubic wave equation (2014, methodology): “MR 2966655 Zbl 1282.35088 [Duyckaerts et al. 2013] T. Duyckaerts, C. E. Kenig, and F. Merle, “Classification of radial solutions of the focusing, energycritical wave equation”, Camb.”
• Soliton resolution for equivariant wave maps to the sphere (2013, methodology): “We now do an induction on the energy in the spirit of the Kenig Merle concentration compactness argument [15, 16].”