Hälder regularity for the gradient of solutions of certain singular parabolic systems

DOI10.1080/03605309108820820zbMath0778.35016OpenAlexW1998301597MaRDI QIDQ3986390

Hi Jun Choe

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1080/03605309108820820

zbMATH Keywords

weak solutiondegenerate parabolic systems

Mathematics Subject Classification ID

Related Items (15)

Regularity for Certain Nonlinear Parabolic Systems ⋮ Regularity for parabolic equations with time dependent growth ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Sharp regularity estimates for quasilinear evolution equations ⋮ Unified approach to \(C^{1, \alpha}\) regularity for quasilinear parabolic equations ⋮ Global Calderón-Zygmund theory for parabolic \(p\)-Laplacian system: the case \(1 < p \leq \frac{ 2 n}{ n + 2} \) ⋮ Gradient estimates for an orthotropic nonlinear diffusion equation ⋮ Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group ⋮ Regularity theory for parabolic systems with Uhlenbeck structure ⋮ \(L^\infty\) a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems ⋮ On the p-pseudoharmonic map heat flow ⋮ Unnamed Item ⋮ Remarks on Hölder continuity for solutions of the \(p\)-Laplace evolution equations ⋮ Gradient Hölder regularity for degenerate parabolic systems

Cites Work

• On the local behavior of solutions of singular parabolic equations
• Regularity for a class of nonlinear elliptic systems
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.

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