Extension problems related to the higher order fractional Laplacian

DOI10.1007/s10114-017-7325-6zbMath1388.42071OpenAlexW2780831707MaRDI QIDQ1741948

Zhen Lei, Yu Kang Chen, Chang-Hua Wei

Publication date: 11 April 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-017-7325-6

zbMATH Keywords

energy equalityquasi-geostrophic equations

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Harmonic analysis and PDEs (42B37)

Related Items (2)

Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method ⋮ A series representation of the discrete fractional Laplace operator of arbitrary order

Cites Work

• Partial regularity of solutions to the fractional Navier-Stokes equations
• Fractional Laplacian in conformal geometry
• Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
• A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
• A maximum principle applied to quasi-geostrophic equations
• Partial regularity of suitable weak solutions to the fractional Navier-Stokes equations
• A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation
• On a frequency localized Bernstein inequality and some generalized Poincaré-type inequalities
• The maximum principle and the global attractor for the dissipative 2D quasi-geostrophic equations
• Partial regularity of suitable weak solutions to the multi-dimensional generalized magnetohydrodynamics equations
• Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• An Extension Problem Related to the Fractional Laplacian

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