Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system
DOI10.1063/1.4936164zbMath1334.35198OpenAlexW2219454113MaRDI QIDQ3463229
Satoshi Masaki, Takayoshi Ogawa
Publication date: 12 January 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4936164
weak solutionsconvergence of solutionsEuler-Poisson systemGagliardo-Nirenberg inequalitynonlinear Scrhrödinger-Poisson systemSobolev like spaces
NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Euler-Poisson-Darboux equations (35Q05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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