Regularity criteria for harmonic heat flow and related system

DOI10.1002/mana.201200219zbMath1335.58011OpenAlexW2216522986MaRDI QIDQ2786723

Jishan Fan, Tohru Ozawa

Publication date: 23 February 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200219

zbMATH Keywords

regularity criterionharmonic mapsurface growthbiharmonic heat flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Harmonic maps, etc. (58E20)

Cites Work

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• Local existence and uniqueness in the largest critical space for a surface growth model
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• \(H^p\) spaces of several variables
• A regularity criterion to the biharmonic map heat flow in ℜ⁴
• Logarithmically improved regularity criteria for Navier-Stokes and related equations
• Commutator estimates and the euler and navier-stokes equations
• Sharp Sobolev Inequality of Logarithmic Type and the Limiting Regularity Condition to the Harmonic Heat Flow
• Interpolation inequalities in Besov spaces

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