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《Acta Analysis Functionalis Applicata》 2009-01
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The Spectrum of Singular Transport Operator with a Reflecting Boundary Conditions in Slab Geometry

WANG Sheng-hua1, WENG Yun-fang2, YUAN Deng-bin1 1. Department of Mathematical and Computer, Shangrao Normal University, Shangrao 334001, China 2. Department of Mathematical in Nanchang University, Nanchang 330047, China  
The objective of this paper is to research singular transport equations with anisotropic continuous energy homogeneous slab geometry for a reflecting boundary condition in Lp space. It proves the singular transport operator generates a strongly continuous C0 semigroup V(t)(t≥0) and the compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C0 semigroup V(t)(t≥0) in Lp space, and to obtain the spectrum of the transport operator consist of isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.
【Fund】: 江西省自然科学基金(2007GZS0105)
【CateGory Index】: O177.2
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 WANG Sheng-hua~1,ZHENG Yuan-guang~2(1.Department of Mathematical and Computer,Shangrao Normal University, Shangrao 334001,China;2.Department of Mathematics,Nanchang University,Nanchang 330047,China);The Spectral Analyse of Transport Operator with a Perfect Reflecting Boundary Condition in Slab Geometry[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-05
2 WANG Sheng-hua,MA Jiang-shan(Department of Mathematics and Computer, Shangrao Normal University,Shangrao 330027,China);SINGULAR TRANSPORT EQUATIONS WITH A PERIODICBOUNDARY CONDITIONS IN SLAB GEOMETRY[J];Journal of Nanchang University(Natural Science);2005-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHENG Yuan-guang~1,WANG Sheng-hua~2(1.Department of Mathematics,Nanchang University,Nanchang 330031,China;2.Department of Mathematical and Computer,Shangrao Normal University,Shangrao 334001,China);The Spectrum of Transport Operator with General Boundary Condition in Slab Geometry[J];Journal of Nanchang University(Natural Science);2006-06
2 YUAN Deng-bin1,WANG Sheng-hua2(1.Department of Mathematics,Nanchang University,Nanchang 330031,China;2.Department of Mathematical and Computer,Shangrao Normal University,Shangrao 334001,China);Singular Transport Equations with a Reflecting Boundary Conditions in Slab Geometry[J];Journal of Nanchang University(Natural Science);2007-06
3 WANG Sheng-hua1,ZHENG Chuan-mei2(1.Department of Mathematical and Computer,Shangrao Normal University,Jiangxi,Shangrao 334001,China;2.Department of Mathematics,Nanchang University,Nanchang 330031,China);The Spectrum of a Singular Transport Operator with Generalized Boundary Conditions in Slab Geometry[J];Journal of Nanchang University(Natural Science);2008-06
4 WU Hong-xing1,WANG Sheng-hua2(1.Department of Mathematics,Nanchang University,Nanchang 330031,China;2.Department of Mathematics and Computer,Shangrao Normal University,Shangrao Jiangxi 334001,China);The Spectrum of the Transport Operator with General Boundary Condition in Slab Geometry[J];Journal of Nanchang University(Natural Science);2009-05
5 ZHENG Yuan-guang~1,WANG Sheng-hua~2 (1.Department of Mathematics in Nanchang University,Nanchang Jiangxi 330047,China;2.Shangrao Normal College,Shangrao Jiangxi 334001,China);The Spectrum of Transport Operator with General Boundary Condition in Slab Geometry[J];Journal of Shangrao Normal College;2005-06
6 YUAN Deng-bin~1,WANG Sheng-hua~2(1.Department of Mathematics in Nanchang University,Nanchang Jiangxi 330047 China;2.Shangrao Normal College,Shangrao Jiangxi 334001,China);The Spectrum of Transport Operator with a Perfect Reflecting Boundary Condition in Slab Geometry[J];Journal of Shangrao Normal College;2006-03
7 WANG Shenghua1,ZHANG Chuanmei2(1.Shangrao Normal College,Shangrao,Jiangxi 334000,China;2.Department of Mathematics,Nanchang University,Nanchang,Jiangxi 330047,China);Transport Equation with Perfect Reflecting Boundary Condition in Slab Geometry[J];Journal of Shangrao Normal College;2008-06
8 WANG Sheng-hua~1, ZHENG Yuan-guang~2(1.Department of Mathematical and Computer,Shangrao Normal University, Shangrao Jiangxi 334001,China)(2.Department of Mathematics,Nanchang University,Nanchang Jiangxi 330047,China);The Spectrum of Transport Operator with General Boundary Condition in Slab Geometry[J];Mathematics in Practice and Theory;2006-10
9 WANG Sheng-hua,MA Jiang-shan(Department of Mathematical and Computer in Shangrao Normal University,Shangrao Jiangxi,334001,China);The Spectrum of a Singular Transport Operator with Periodic Boundary Conditions in Slab Geometry[J];Mathematics in Practice and Theory;2007-06
10 WANG Sheng-hua1,YUAN Deng-bin2 1.Department of Mathematical and Computer,Shangrao Normal University,Shangrao Jiangxi 334001,China 2.Department of Mathematics,Nanchang University,Nanchang Jiangxi 330047,China;The Spectrum of Singular Transport Operator with a Perfect Keflecting Boundary Conditions in Slab Geometry[J];Acta Analysis Functionalis Applicata;2006-04
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