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The eigenvalue spectrum of the linear Boltzmann operator in \(L^1(R^6)\) and \(L^2(R^6)\)

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Publication:1139174
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DOI10.1007/BF02128506zbMath0433.34017MaRDI QIDQ1139174

B.Montagnini

Publication date: 1979

Published in: Meccanica (Search for Journal in Brave)


zbMATH Keywords

operatoreigenvalue spectrumHejtmanek scattering approachlinear neutron transportspectral resolution formula


Mathematics Subject Classification ID

Ordinary differential operators (34L99)


Related Items (2)

Weak spectral mapping theorems for \(C_0\)-groups associated to transport equations in slab geometry ⋮ On the spectrum of the free streaming operator in the three‐dimensional case




Cites Work

  • Scattering theory of the linear Boltzmannoperator
  • Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
  • Complete continuity of the free gas scattering operator in neutron thermalization theory
  • Time behavior of thermal neutrons in moderating media
  • Linearized Boltzmann equation in \(L^ 1\) space
  • Dynamics and spectrum of the linear multiple scattering operator in the Banach lattice L1(R3× R3)
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This page was built for publication: The eigenvalue spectrum of the linear Boltzmann operator in \(L^1(R^6)\) and \(L^2(R^6)\)

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