Space Homogeneous Solutions to the Cauchy Problem for Semiconductor Boltzmann Equations

DOI10.1137/S0036141095291397zbMath0896.45006OpenAlexW1963797058MaRDI QIDQ4377473

Salvatore A. Marano, Armando Majorana

Publication date: 9 February 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141095291397

zbMATH Keywords

Cauchy problemBoltzmann equationsemiconductorexistence and uniquenesselectron gasbounded continuous solutionDirac distribution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Technical applications of optics and electromagnetic theory (78A55) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (9)

Trend to equilibrium of electron gas in a semiconductor according to the Boltzmann equation ⋮ MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY ⋮ The Consistency and the Monte Carlo Method for Semiconductor Boltzmann Equations with Multivalley ⋮ Cross validation of discontinuous Galerkin method and Monte Carlo simulations of charge transport in graphene on substrate ⋮ Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley ⋮ Space homogeneous solutions of the linear semiconductor Boltzmann equation ⋮ On the Cauchy problem for spatially homogeneous semiconductor Boltzmann equations: existence and uniqueness ⋮ A finite difference scheme solving the Boltzmann-Poisson system for semiconductor devices ⋮ CONSERVATIVE AND NON-CONSERVATIVE BOLTZMANN-TYPE MODELS OF SEMICONDUCTOR THEORY

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