A nonlinear evolution problem arising from particle transport with nonhomogeneous boundary conditions

DOI10.1016/S0362-546X(96)00049-1zbMath0921.35174OpenAlexW2080571157MaRDI QIDQ4208375

Aldo Belleni-Morante

Publication date: 10 March 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00049-1

zbMATH Keywords

explicit solutionparticle transportnonhomogeneous boundary conditions-evolution problems

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Transport processes in time-dependent statistical mechanics (82C70) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items

Interaction between algae and photons: Derivation of a simplified model, A semilinear cauchy problem with a time dependent source on the boundary, Transport problems with nonhomogeneous boundary conditions

Cites Work

• Outgassing and contamination: Strict solution of a Boltzman‐like model
• Nonhomogeneous boundary conditions in neutron transport
• Time dependent photon transport in an interstellar cloud with stochastic clumps
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• Note on Nonlinear Contraction Semigroups
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
• Unnamed Item
• Unnamed Item