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The porous medium equation with variable exponent revisited

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Publication:2044639
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DOI10.1007/s00028-020-00632-8zbMath1470.35096OpenAlexW3093424916MaRDI QIDQ2044639

Eurica Henriques

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00632-8


zbMATH Keywords

porous medium equationintrinsic scalingsingular/degenerate PDE


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)


Related Items (2)

An \(L^1\)-theory for a nonlinear temporal periodic problem involving \(p(x)\)-growth structure with a strong dependence on gradients ⋮ Unnamed Item



Cites Work

  • Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
  • Degenerate parabolic equations
  • A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
  • Regularity for the porous medium equation with variable exponent: The singular case
  • Intrinsic scaling for PDEs with an exponential nonlinearity
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