TY - JOUR T1 - Quantum Euler-Poisson System: Local Existence of Solutions JO - Journal of Partial Differential Equations VL - 4 SP - 306 EP - 320 PY - 2003 DA - 2003/11 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5428.html KW - Quantum Euler-Poisson system KW - existence of local classical solutions KW - non-linear fourth-order wave equation AB - The one-dimensional transient quantum Euler-Poisson system for semiconductors is studied in a bounded interval. The quantum correction can be interpreted as a dispersive regularization of the classical hydrodynamic equations and mechanical effects. The existence and uniqueness of local-in-time solutions are proved with lower regularity and without the restriction on the smallness of velocity, where the pressure-density is general (can be non-convex or non-monotone).