Regularity for Certain Nonlinear Parabolic Systems

DOI10.1081/PDE-120037327zbMath1058.35084OpenAlexW2009007447MaRDI QIDQ3157904

Hyeong-Ohk Bae, Hi Jun Choe

Publication date: 20 January 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120037327

zbMATH Keywords

Harnack inequalityPoincaré inequalityHölder continuity\(p\)-Laplacian systemintegral estimate of Campanato type

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Second-order parabolic systems (35K40)

Related Items (6)

Everywhere regularity of certain nonlinear diffusion systems ⋮ Regularity for the weak solutions to certain parabolic systems under certain growth condition ⋮ Sharp regularity estimates for quasilinear evolution equations ⋮ \( C^{1,\alpha}\) regularity for degenerate parabolic equations arising from the Heston model ⋮ \(L^\infty\) a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems ⋮ Pressure representation and boundary regularity of the Navier-Stokes equations with slip boundary condition

Cites Work

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• On the Obstacle Problem for Quasilinear Elliptic Equations of p Laplacian Type
• Hälder regularity for the gradient of solutions of certain singular parabolic systems
• Hölder continuity for solutions of certain degenerate parabolic systems
• Interior behaviour of minimizers for certain functionals with nonstandard growth
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Boundary and initial regularity for solutions of degenerate parabolic equations

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