The two-obstacle problem for the parabolic biharmonic equation

DOI10.1016/j.na.2016.02.004zbMath1335.35095arXiv1509.03062OpenAlexW2964139990MaRDI QIDQ266689

Matteo Novaga, Shinya Okabe

Publication date: 13 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03062

zbMATH Keywords

biharmonic equationminimizing movementstwo-obstacle problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order parabolic equations (35K25)

Related Items (6)

The biharmonic Alt-Caffarelli problem in 2D ⋮ The obstacle problem for a fourth order semilinear parabolic equation ⋮ The elastic flow with obstacles: small obstacle results ⋮ On gradient flows with obstacles and Euler's elastica ⋮ A free boundary problem driven by the biharmonic operator ⋮ Limit behaviour of a singular perturbation problem for the biharmonic operator

Cites Work

• On the moments of solutions to linear parabolic equations involving the biharmonic operator
• Linear and semilinear higher order parabolic equations in \(\mathbb R^N\)
• Regularity of the obstacle problem for the parabolic biharmonic equation
• Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\)
• Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
• The obstacle problem revisited
• The two-obstacle problem for the biharmonic operator
• Existence and nonexistence of global solutions of higher-order parabolic problems with slow decay initial data
• On the regularity of the solution of the biharmonic variational inequality
• Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators
• Non-uniqueness and global similarity solutions for a higher-order semilinear parabolic equation
• Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
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