On the pointwise Schauder estimates for elliptic and parabolic equations

DOI10.3934/DCDS.2024076MaRDI QIDQ6614211

Igor Kukavica, Quinn Le

Publication date: 7 October 2024

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsasymptotic propertiesBoussinesq equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Higher-order elliptic systems (35J48) Higher-order parabolic systems (35K41)

Cites Work

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• Schauder estimates for elliptic and parabolic equations
• Local behavior of solutions of general linear elliptic equations
• Local behaviour of solutions to parabolic equations parabolic equations
• Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit
• Pointwise estimates for the heat equation. Application to the free boundary of the obstacle problem with Dini coefficients
• Schauder estimates for elliptic operators with applications to nodal sets.

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