Existence for a degenerate Cauchy problem

DOI10.1007/s00229-008-0232-5zbMath1177.35127OpenAlexW2071152403MaRDI QIDQ1003160

Mikko Parviainen, Tuomo Kuusi

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0232-5

zbMATH Keywords

measure valued initial dataunbounded Radon measure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)

Related Items

Nonlinear parabolic capacity and polar sets of superparabolic functions ⋮ Boundary behavior of solutions to the parabolic \(p\)-Laplace equation ⋮ Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets ⋮ Initial trace for a doubly nonlinear parabolic equation ⋮ Pointwise gradient estimates ⋮ Nonlinear measure data problems ⋮ A remark on infinite initial values for quasilinear parabolic equations ⋮ Stability of degenerate parabolic Cauchy problems

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