Weak Solutions of the Porous Medium Equation

DOI10.2307/2154372zbMath0775.35002OpenAlexW4255359747MaRDI QIDQ4039343

Björn E. J. Dahlberg, Carlos E. Kenig

Publication date: 11 August 1993

Full work available at URL: https://doi.org/10.2307/2154372

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (10)

The equivalence of weak and very weak supersolutions to the porous medium equation ⋮ Hölder continuity of nonnegative solutions to the porous medium equation ⋮ Some nonlinear equations of the nonstable filtration type and embedding theorems ⋮ Potential theory and optimal convergence rates in fast nonlinear diffusion ⋮ Flat fronts and stability for the porous medium equation ⋮ Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities ⋮ Nonnegative solutions of ut = δ(u-1)+: Regularity and uniqueness for the cauchy problem ⋮ Weak Solutions of the Porous Medium Equation in a Cylinder ⋮ An optimal Liouville-type theorem for radial entire solutions of the porous medium equation with source ⋮ Regularity of weak solutions and supersolutions to the porous medium equation

Cites Work

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• Non-negative solutions of generalized porous medium equations
• The Initial Trace of a Solution of the Porous Medium Equation
• Non-negative solutions of theo porous medium eqation
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
• On Harnack's theorem for elliptic differential equations
• Continuity of solutions of a singular parabolic equation

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