Regularity of the obstacle problem for the parabolic biharmonic equation

DOI10.1007/s00208-015-1200-5zbMath1327.35145arXiv1311.6569OpenAlexW2153457474MaRDI QIDQ889950

Matteo Novaga, Shinya Okabe

Publication date: 9 November 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6569

zbMATH Keywords

obstacle problemregularity of solutionparabolic biharmonic operator

Mathematics Subject Classification ID

Higher-order parabolic equations (35K25) Variational methods for higher-order elliptic equations (35J35)

Related Items (15)

The two-obstacle problem for the parabolic biharmonic equation ⋮ The biharmonic Alt-Caffarelli problem in 2D ⋮ The obstacle problem for a fourth order semilinear parabolic equation ⋮ The \(p\)-elastic flow for planar closed curves with constant parametrization ⋮ A dynamical approach to the variational inequality on modified elastic graphs ⋮ Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth ⋮ The elastic flow with obstacles: small obstacle results ⋮ On gradient flows with obstacles and Euler's elastica ⋮ Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties ⋮ A variational scheme for hyperbolic obstacle problems ⋮ A free boundary problem driven by the biharmonic operator ⋮ On the obstacle problem for fractional semilinear wave equations ⋮ A Second Order Gradient Flow of p-Elastic Planar Networks ⋮ An obstacle problem for elastic curves: existence results ⋮ Limit behaviour of a singular perturbation problem for the biharmonic operator

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