Global well-posedness, scattering and blow-up for the energy-critical, focusing Hartree equation in the radial case

• Autorzy: Changxing Miao , Guixiang Xu , Lifeng Zhao
• Języki publikacji: EN

Abstrakty

EN

We establish global existence and scattering for radial solutions to the energy-critical focusing Hartree equation with energy and Ḣ¹ norm less than those of the ground state in $ℝ × ℝ^{d}$, d ≥ 5.

Kategorie tematyczne

• 47J35: Nonlinear evolution equations
• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35Q40: PDEs in connection with quantum mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 2
• Strony: 213-236

Daty

wydano

2009

Twórcy

autor

Changxing Miao

• Institute of Applied Physics and, Computational Mathematics, P.O. Box 8009, Beijing, China, 100088

autor

Guixiang Xu

• Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, China, 100088

autor

Lifeng Zhao

• Department of Mathematics, University of Science and Technology of China

Identyfikatory

DOI

10.4064/cm114-2-5