Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials

DOI10.1016/S0898-1221(02)00150-5zbMath1050.35103MaRDI QIDQ1886469

Jian Zhang, Benny Y. C. Hon, Xu Zhou

Publication date: 18 November 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Radial basis functionNonlinear Schrödinger equationGlobal existenceConfined potential

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
• Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• On a class of nonlinear Schrödinger equations
• On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
• Solving partial differential equations by collocation using radial basis functions
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials
• Collapses of Wavefunctions in Multi-Dimensional Nonlinear Schrödinger Equations under Harmonic Potential

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