On regularizing-rate estimates for solutions to the heat flow with initial value problem

DOI10.1007/s11425-012-4451-6zbMath1275.35116OpenAlexW2005582611MaRDI QIDQ362528

Meng Wang, Xiao-Feng Liu

Publication date: 22 August 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4451-6

zbMATH Keywords

mild solutionanalyticity in spatial variables

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Cites Work

• On the uniqueness of heat flow of harmonic maps and hydrodynamic flow of nematic liquid crystals
• Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Optimal local smoothing and analyticity rate estimates for the generalized Navier-Stokes equations
• Heat flow of harmonic maps from noncompact manifolds
• Remarks on the Schrödinger operator with singular complex potentials
• On the spatial analyticity of solutions of the Navier-Stokes equations
• On the nonstationary Navier-Stokes systems
• UNIQUENESS OF MILD SOLUTIONS OF THE NAVIER-STOKES SYSTEM IN LN
• On the well-posedness for the heat flow of harmonic maps and the hydrodynamic flow of nematic liquid crystals in critical spaces
• A Global Existence Result For The Heat Flow of Harmonic Maps
• Unnamed Item

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