$L^1$ Contraction for Bounded (Nonintegrable) Solutions of Degenerate Parabolic Equations

DOI10.1137/140966599zbMath1323.35096arXiv1404.6418OpenAlexW2016911946MaRDI QIDQ5179166

Espen R. Jakobsen, Jørgen Endal

Publication date: 19 March 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6418

zbMATH Keywords

existenceuniquenessa priori estimatesentropy solutionsdegenerate parabolic equations\(L^1\)-contractionequations of mixed hyperbolic/parabolic typenonlocal/local equation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)

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