A non-local inequality and global existence

DOI10.1016/j.aim.2012.02.017zbMath1248.35005arXiv1202.4088OpenAlexW2000461751MaRDI QIDQ424563

Joachim Krieger, Philip T. Gressman, Robert M. Strain

Publication date: 1 June 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4088

zbMATH Keywords

kinetic theoryglobal regularityLandau equationmodel equationnon-local heat equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Boltzmann equations (35Q20)

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Cites Work

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• Stability of the relativistic Maxwellian in a collisional plasma
• Well-posedness of the spatially homogeneous Landau equation for soft potentials
• The Landau equation in a periodic box
• Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness