Local solvability of a fully nonlinear parabolic equation

DOI10.2996/KMJ/1414674617zbMath1317.35128OpenAlexW2146648395MaRDI QIDQ487287

Goro Akagi

Publication date: 19 January 2015

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kmj/1414674617

zbMATH Keywords

nonlinear parabolic equationdoubly nonlinear evolution equationunidirectional evolutionvariational inequality of obstacle type

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Positive solutions to PDEs (35B09) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint ⋮ Doubly nonlinear stochastic evolution equations ⋮ Allen–Cahn equation with strong irreversibility

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