Low regularity global well-posedness for the quantum Zakharov system in \(1D\)

DOI10.11650/TJM/7806zbMath1394.35384OpenAlexW2601884448MaRDI QIDQ1750675

Yung-Fu Fang, Kuan-Hsiang Wang, Tsai-Jung Chen

Publication date: 23 May 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1498750956

zbMATH Keywords

global well-posednessquantum Zakharov system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (9)

A fourth-order compact finite difference scheme for the quantum Zakharov system that perfectly inherits both mass and energy conservation ⋮ Remark on the adiabatic limit of quantum Zakharov system ⋮ Unnamed Item ⋮ MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM ⋮ The local discontinuous Galerkin method for the nonlinear quantum Zakharov system ⋮ Global well-posedness and scattering for the quantum Zakharov system in 𝐿² ⋮ Existence of radially symmetric blow-up solutions for quantum Zakharov system ⋮ Semi-classical limit for the Quantum Zakharov system ⋮ Local well-posedness for the quantum Zakharov system in three and higher dimensions

Cites Work

• Unnamed Item
• On one dimensional quantum Zakharov system
• Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
• On the Cauchy problem for the Zakharov system
• Global well-posedness and the classical limit of the solution for the quantum Zakharov system
• Low regularity global well-posedness for the Zakharov and Klein-Gordon-Schrödinger systems

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