On optimal Hölder regularity of solutions to the equation \(\Delta u+b\cdot \nabla u=0\) in two dimensions

DOI10.1016/j.crma.2017.02.005zbMath1375.35125arXiv1611.06911OpenAlexW2594243055MaRDI QIDQ524858

Nam Q. Le

Publication date: 26 April 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06911

zbMATH Keywords

Sobolev spacesHardy spaceLaplace operatorHölder regularityelliptic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30)

Cites Work

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• Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics
• On divergence-free drifts
• On the regularity of solutions to the equation \(-\Delta u+b\cdot\nabla u=0\)
• Compensated compactness and Hardy spaces
• Conservation laws for conformally invariant variational problems
• A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two
• An existence theorem for surfaces of constant mean curvature

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