The spectrum of the transport operator with a potential term under the spatial periodicity condition

zbMath0887.45004MaRDI QIDQ1373408

Minoru Tabata, Nobuoki Eshima

Publication date: 25 May 1998

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1997__97__211_0

zbMATH Keywords

eigenvaluesspectrumtransport operator

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05)

Related Items

Decay of solutions to the mixed problem for the linearized Boltzmann equation with a potential term in a polyhedral bounded domain

Cites Work

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• Abstract time-dependent transport equations
• Stability and exponential convergence for Boltzmann equation
• On the initial value problem for the Boltzmann equation with a force term
• Spectral properties of the space nonhomogeneous linearized Boltzmann operator
• On the nonlinear Boltzmann equation with force term
• Global solutions to a mixed problem fop the Boltzmann equation with Lorentz force term
• Existence, uniqueness and properties of the solutions of the Boltzmann kinetic equation for a weakly ionized gas. I.
• On the Boltzmann Equation with External Forces
• Decay of solutions to the mixed problem with the periodicity boundary condition for the linearized boltzmann equation with conservative external force
• Decay of solutions to the cauchy problem for the linearized Boltzmann equation with an unbounded external-force potential
• Asymptotic Theory of the Boltzmann Equation