Local well-posedness for the quantum Zakharov system

DOI10.4310/CMS.2020.V18.N5.A9zbMath1467.35268OpenAlexW3088297872MaRDI QIDQ2023559

Kuan-Hsiang Wang, Yung-Fu Fang

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2020.v18.n5.a9

zbMATH Keywords

local well-posednessStrichartz estimatesFourier restriction norm methodquantum Zakharov systemZakharov systemquantum parameter

Mathematics Subject Classification ID

Wave equation (35L05) PDEs in connection with quantum mechanics (35Q40) 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)

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The local discontinuous Galerkin method for the nonlinear quantum Zakharov system

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