【摘要】 在LP(1 P<∞)空间研究了板模型中一类带广义边界条件具各向异性、连续能量、均匀介质迁移算子的谱,证明了该迁移算子生成C0半群的D yson—Ph illips展开式的二阶余项在LP(1<P<∞)空间中是紧的和在L1空间中是弱紧的.从而得到了该迁移算子的谱在区域Γ中仅由有限个具有限代数重数的离散本征值组成及占优本征值的存在性等结果.更多还原

【Abstract】 The paper is concerned with the spectral properties of the transport operator general boundary conditions First we obtain that the second remainder of the semigroup generated by the transport operator second we obtain the spectral struction of the transport operator.更多还原