The porous medium equation with measure data

DOI10.1007/s00028-010-0067-xzbMath1239.35175OpenAlexW2084109555WikidataQ110086522 ScholiaQ110086522MaRDI QIDQ423431

Teemu Lukkari

Publication date: 2 June 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-010-0067-x

zbMATH Keywords

comparison principleexistence of solutionsporous medium equationmeasure dataA priori estimatesviscosity supersolutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Comparison principles in context of PDEs (35B51) PDEs with measure (35R06)

Related Items (9)

Degenerate and Singular Porous Medium Type Equations with Measure Data ⋮ Solutions with moving singularities for equations of porous medium type ⋮ The equivalence of weak and very weak supersolutions to the porous medium equation ⋮ Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion ⋮ Reaction-diffusion systems with initial data of low regularity ⋮ The fast diffusion equation with measure data ⋮ Global existence for reaction-diffusion systems with nonlinear diffusion and control of mass ⋮ Existence of weak solutions of doubly nonlinear parabolic equations ⋮ Some existence and regularity results for porous media and fast diffusion equations with a gradient term

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