Infinite energy solutions for a 1D transport equation with nonlocal velocity

DOI10.4310/DPDE.2016.V13.N2.A2zbMath1350.35062arXiv1506.01288WikidataQ115204051 ScholiaQ115204051MaRDI QIDQ313064

Omar Lazar, Pierre Gilles Lemarié Rieusset

Publication date: 9 September 2016

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01288

zbMATH Keywords

Hilbert transformMuckenhoupt weightscommutatorscritical dissipationsingular velocity

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Initial value problems for linear first-order PDEs (35F10) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Harmonic analysis and PDEs (42B37)

Related Items (5)

On the dynamics of the roots of polynomials under differentiation ⋮ Global existence of weak solutions to dissipative transport equations with nonlocal velocity ⋮ On a 1D nonlocal transport equation with nonlocal velocity and subcritical or supercritical diffusion ⋮ A nonlocal transport equation describing roots of polynomials under differentiation ⋮ A nonlocal transport equation modeling complex roots of polynomials under differentiation

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