Sharp thresholds of global existence and blowup for a system of Schrödinger equations with combined power-type nonlinearities

DOI10.1063/1.3299309zbMath1309.35144OpenAlexW2065076365MaRDI QIDQ5246622

Xianfa Song

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3299309

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (11)

BLOW-UP IN TWO-COMPONENT NONLINEAR SCHRÖDINGER SYSTEMS WITH AN EXTERNAL DRIVEN FIELD ⋮ Blow up threshold for the Gross‐Pitaevskii system with trapped dipolar quantum gases ⋮ Scattering for a 3D coupled nonlinear Schrödinger system ⋮ Orbital stability of solitary waves of a 3-coupled nonlinear Schrödinger system ⋮ Optimal bilinear control of the coupled nonlinear Schrödinger system ⋮ Global existence for a coupled system of Schrödinger equations with power-type nonlinearities ⋮ Blow-up solutions to nonlinear Schrödinger system at multiple points ⋮ Stability of solitary waves for the vector nonlinear Schrödinger equation in higher-order Sobolev spaces ⋮ Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential ⋮ Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system ⋮ Blow up threshold for the Gross-Pitaevskii system with combined nonlocal nonlinearities

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