Local well-posedness for the quantum Zakharov system in one spatial dimension

DOI10.1142/S0219891617500059zbMath1364.35294MaRDI QIDQ2978143

Yung-Fu Fang, Kuan-Hsiang Wang, Hsi-Wei Shih

Publication date: 21 April 2017

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

local well-posednessquantum Zakharov systemquantum parameter

Mathematics Subject Classification ID

Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Initial value problems for higher-order hyperbolic equations (35L30)

Related Items (11)

Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system ⋮ Unnamed Item ⋮ MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ An energy-preserving and efficient scheme for a double-fractional conservative Klein-Gordon-Zakharov system ⋮ A numerically efficient and conservative model for a Riesz space-fractional Klein-Gordon-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 ⋮ A conservative linearly-implicit compact difference scheme for the 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

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