Hardy's inequality and the isotropic Landau equation

DOI10.1016/j.jfa.2022.109559zbMath1492.35064arXiv2106.13363OpenAlexW4297790140MaRDI QIDQ2149495

Nestor Guillen, Maria Pia Gualdani

Publication date: 29 June 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13363

zbMATH Keywords

kinetic theoryregularity theoryLandau equationweighted Hardy inequalityDe Giorgi-Nash-Moser theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Integro-partial differential equations (35R09) Transport equations (35Q49)

Cites Work

• A non-local inequality and global existence
• Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential
• Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential
• Upper bounds for parabolic equations and the Landau equation
• Well-posedness of the spatially homogeneous Landau equation for soft potentials
• Global in time estimates for the spatially homogeneous Landau equation with soft potentials
• Some a priori estimates for the homogeneous Landau equation with soft potentials
• Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• Functional Inequalities: New Perspectives and New Applications
• On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness
• On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications
• Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations

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