Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials

DOI10.1090/qam/1681zbMath1547.3549MaRDI QIDQ6602245

Zongguang Li

Publication date: 11 September 2024

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniform estimatesquantum Boltzmann equationlarge amplitude solutions

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boltzmann equations (35Q20)

This page was built for publication: Existence and uniqueness of solutions to the Fermi-Dirac Boltzmann equation for soft potentials