On the nonlinear Schrödinger dynamics on \(\mathbb S^2\)

DOI10.1016/S0021-7824(03)00059-XzbMath1084.35082arXivmath/0406058MaRDI QIDQ1429971

Valeria Banica

Publication date: 27 May 2004

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406058

zbMATH Keywords

stabilityboundednessCauchy problemnonlinear Schrödinger equationspherical harmonicseigenfunctionsansatz

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) NLS equations (nonlinear Schrödinger equations) (35Q55) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (5)

Weighted Strichartz estimates for the Schrödinger and wave equations on Damek-Ricci spaces ⋮ Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces ⋮ Weighted Strichartz estimates for the radial perturbed Schrödinger equation on the hyperbolic space ⋮ The WKB method and geometric instability for nonlinear Schrödinger equations on surfaces ⋮ Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system

Cites Work

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