Global weighted regularity estimates for higher‐order elliptic and parabolic systems

DOI10.1002/mma.8086zbMath1529.35102OpenAlexW4206239339MaRDI QIDQ6141655

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8086

zbMATH Keywords

weighted Orlicz space weighted Lorentz space higher-order elliptic system higher-order parabolic system small BMO condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48) Higher-order parabolic systems (35K41)

Cites Work

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Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
Gradient estimates for higher order elliptic equations on nonsmooth domains
Regularity criteria in terms of the pressure for the Navier-Stokes equations in the critical Morrey-Campanato space
Global estimates for quasilinear elliptic equations on Reifenberg flat domains
Second-order elliptic equations with variably partially VMO coefficients
Gradient estimates for a class of parabolic systems
Gradient estimates for elliptic systems in non-smooth domains
Elliptic equations in divergence form with partially BMO coefficients
Weighted Hardy spaces
Maximal \(L^p\)-regularity for elliptic operators with VMO-coefficients
The inhomogeneous Dirichlet problem in Lipschitz domains
Global regularity for higher order divergence elliptic and parabolic equations
On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems
Logarithmically improved regularity criteria for the 3D viscous MHD equations
Elliptic equations with BMO coefficients in Reifenberg domains
Parabolic and Elliptic Equations with VMO Coefficients
On Divergence Form SPDEs with VMO Coefficients
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
Integral inequalities with weights for the Hardy maximal function
Weak minima of variational integrals.
Weighted regularity criteria for the three-dimensional Navier—Stokes equations
Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others

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