Harnack-Type Inequalities for Evolution Equations

DOI10.2307/2160850zbMath0818.35049OpenAlexW4250767928MaRDI QIDQ4311380

J. F. G. Auchmuty, David Bao

Publication date: 20 August 1995

Full work available at URL: https://doi.org/10.2307/2160850

zbMATH Keywords

Harnack inequalityporous medium equationparabolic \(p\)-Laplace equation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items

On the Harnack inequality for a class of hypoelliptic evolution equations ⋮ Aronson-Bénilan and Harnack estimates for the discrete porous medium equation ⋮ Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations ⋮ Li-Yau inequalities for general non-local diffusion equations via reduction to the heat kernel ⋮ Gradient estimates for \(u_t = \Delta F(u)\) on manifolds and some Liouville-type theorems ⋮ Moser-Nash kernel estimates for degenerate parabolic equations ⋮ Harnack inequalities: an introduction ⋮ Gradient estimate for the degenerate parabolic equation \(u_t=\Delta F(u)+H(u)\) on manifolds ⋮ Regularizing effect of homogeneous evolution equations with perturbation ⋮ Global gradient estimates for nonlinear parabolic operators

Cites Work

• On the parabolic kernel of the Schrödinger operator
• Absolute continuity on tracks and mappings of Sobolev spaces
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
• A harnack inequality for parabolic differential equations
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