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Transport Equations

Part of the Operator Theory: Advances and Applications book series (OT, volume 182)

Abstract

Linear transport equations in plane-parallel homogeneous media have been studied as abstract boundary value problems on complex Hilbert spaces for three decades [82, 83, 24, 15, 152, 102, 77]. Here we study their evolution operators as multiplicative perturbations of exponentially dichotomous operators, first for multiplicative perturbations that are compact perturbations of the identity, then for positive selfadjoint (bounded as well as unbounded) multiplicative perturbations. We also derive formal solutions of the relevant boundary value problems.

Keywords

Transport Equation Compact Operator Bounded Linear Operator Selfadjoint Operator Unique Solvability 
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Copyright information

© Birkhäuser Verlag AG 2008

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