Radial weak solutions for the Perona-Malik equation as a differential inclusion

DOI10.1016/j.jde.2014.11.017zbMath1310.35025arXiv1309.6646OpenAlexW2063745133WikidataQ59163422 ScholiaQ59163422MaRDI QIDQ2255111

Seonghak Kim, Baisheng Yan

Publication date: 6 February 2015

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

Full work available at URL: https://arxiv.org/abs/1309.6646

zbMATH Keywords

partial differential inclusionBaire's category methodhomogeneous Neumann boundary probleminfinitely many radial weak solutions in all dimensions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Semilinear parabolic equations (35K58) Axially symmetric solutions to PDEs (35B07)

Related Items (7)

Interfacial phenomena of the forward backward convection-diffusion equations ⋮ On asymptotic behavior and energy distribution for some one-dimensional non-parabolic diffusion problems ⋮ On a gradient maximum principle for some quasilinear parabolic equations on convex domains ⋮ On Lipschitz solutions for some forward-backward parabolic equations ⋮ Two-phase solutions for one-dimensional non-convex elastodynamics ⋮ Convex integration for the Monge-Ampère equation in two dimensions ⋮ Convex Integration and Infinitely Many Weak Solutions to the Perona--Malik Equation in All Dimensions

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