【摘要】 考虑耗散 Schr dinger-Poisson方程组的 Cauchy问题 ,利用半群理论和先验估计方法 ,对吸引力情形 ,证明了该问题整体强解的存在惟一性更多还原

【Abstract】 The following Cauchy problem of the Schrodinger Poisson systems with dissipation is considered. The global existence and uniqueness of  i Ψ mt =-12ΔΨ m +VΨ m + i H 1Ψ m , x∈R 3,t>0 Ψ m (x,0)=φ m(x), x∈R 3 -ΔV=εn, ε=±1 n(x,t)=∑∞m=1λ m|Ψ m (x,t)| 2the strong solutions for the problems are proved by using the theory of semigroup and the method of priori estimates.更多还原