数学物理学报(英文版) ›› 1993, Vol. 13 ›› Issue (3): 323-334.
许跟起
Xu Genqi
摘要： In this paper the abstract boundary value problem on Hilbert space H is studied:
T d/dx=-A(x)ψ(x)+f(x) 0 < x < a Q+ψ(0)=a1Q+ψ(a)+g+ 0<a1,a2 ≤ 1 Q-ψ(a)=a+2Q-ψ(0)+g-
where Q+/Q- are the maximum positive/negative spectral projections of self-adjoint operator T. Under suitable conditions, it is shown that the boundary value problem of abstract kinetic equation is well-posed and can be applied to transport theory.