This paper is devoted to the mixed initial-boundary value problem for the semiconductor equations. Using Stampacchia recurrence method, we prove that the solutions areglobally bounded and positive.
In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smo...In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutions for its Cauchy problem.展开更多
基金Supported by the National Natural Science Foundation of China (10571022)the Natural Science Foundation of Educational Department of Jiangsu Province(04KJB110062,06KJB110056) the Science Foundation of Nanjing Normal University (2003SXXXGQ2B37)
基金Project supported by NSFC(No.19871051No.19601038)+1 种基金the Outstanding Young People SF of Henan Province(No.0016)the NSF of Henan Province(No.004052000).
基金Supported the National Natural Science Foundation of China(10471080) Supported by the Natural Science Foundation of Henan Province(2004110008)
文摘This paper is devoted to the mixed initial-boundary value problem for the semiconductor equations. Using Stampacchia recurrence method, we prove that the solutions areglobally bounded and positive.
文摘In this paper,we discuss a class of the quasillinear hyperbolic equations with the inhomogeneous terms: u_■+σ(v)+2α(t)u=0.v_■-u-0 Under the certain of hypothesis.we prove the globally existence theorems of the smooth solutions for its Cauchy problem.