Blow-up for the focusing energy critical nonlinear Schrödinger equation with confining harmonic potential

• Autorzy: Xing Cheng , Yanfang Gao
• Języki publikacji: EN

Abstrakty

EN

The focusing nonlinear Schrödinger equation (NLS) with confining harmonic potential
$i∂_t u + 1/2 Δu - 1/2 |x|²u = -|u|^{4/(d-2)}u, x ∈ ℝ^{d}$,
is considered. By modifying a variational technique, we shall give a sufficient condition under which the corresponding solution blows up.

Kategorie tematyczne

• 35A15: Variational methods
• 35Q55: NLS-like equations (nonlinear Schr\"odinger)
• 35B44: Blow-up

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 134
• Numer: 1
• Strony: 143-149

Daty

wydano

2014

Twórcy

autor

Xing Cheng

• Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

autor

Yanfang Gao

• School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, China, 350117

Identyfikatory

DOI

10.4064/cm134-1-7