The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation ...The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation for the electron density,including a temperature derivative,an elliptic nonlinear heat equation for the electron temperature,and the Poisson equation for the electric potential.The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.展开更多
基金the Vital Science Research Foundation of Henan Province Education Department(No.12A110024)
文摘The existence of classical solutions to a stationary simplified quantum energytransport model for semiconductor devices in 1-dimensional space is proved.The model consists of a nonlinear elliptic third-order equation for the electron density,including a temperature derivative,an elliptic nonlinear heat equation for the electron temperature,and the Poisson equation for the electric potential.The proof is based on an exponential variable transformation and the Leray-Schauder fixed-point theorem.
基金Supported by the Vital Science Research Foundation of Henan Province Education Department(12A110024)the Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management(2013111001)the Natural Science Foundation of Henan Province Science and Technology Department(132300410373)
基金Supported by the Vital Science Research Foundation of Henan Province Education Department(12A110024)the Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management(2013111001)+1 种基金the Natural Science Foundation of Henan Province Science and Technology Department(132300410373)the Aviation Science Funds(2013ZD55006)
基金Supported by the Vital Science Research Foundation of Henan Province Education Department(No.12A110024)the Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management(No.2013111001,No.2014113002)+2 种基金the Natural Science Foundation of Henan Province Science and Technology Department(No.132300410373)the Aeronautical Science Foundation of China(No.2013ZD55006)the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province(No.2013GGJS-142)
