Global well-posedness and scattering for the quantum Zakharov system in 𝐿²

DOI10.1090/bproc/42zbMath1420.35352OpenAlexW2954106373MaRDI QIDQ5384792

Yung-Fu Fang, Kenji Nakanishi

Publication date: 26 June 2019

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bproc/42

zbMATH Keywords

scatteringwell-posednessglobal solutionsquantum Zakharov system

Mathematics Subject Classification ID

Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order hyperbolic equations (35L30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system ⋮ The local discontinuous Galerkin method for the nonlinear quantum Zakharov system ⋮ Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ A conservative linearly-implicit compact difference scheme for the quantum Zakharov system ⋮ A note on the scattering for 3D quantum Zakharov system with non-radial data in \(L^2\) ⋮ Local well-posedness for the quantum Zakharov system in three and higher dimensions

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