Landou's Half-Space Problem of Degenerate Plasma Oscillations with   Specular-Accommodative Boundary Conditions
  In the present paper the linearized problem of half-space plasma oscillations in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the plasma boundary are considered. Coefficients of continuous and discrete spectra of the problem are found, and electron distribution function on the plasma boundary and electric field are expressed in explicit form. 
N.V. Gritsienko, A.V. Latyshev and A.A. Yushkanov
math-ph math.MP physics.plasm-ph