Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

DOI10.3934/CAM.2023033zbMATH Open1548.35051MaRDI QIDQ6611456

Yuxuan Chen

Publication date: 26 September 2024

Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)

zbMATH Keywords

global existencedegenerate parabolic equationground state solutionfinite-time blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

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Related Items (8)

A class of viscoelastic evolution equation on manifolds with conical singularities ⋮ On the boundary control problem associated with a fourth order parabolic equation in a two-dimensional domain ⋮ Mixed local and nonlocal parabolic equation: global existence, decay and blow-up ⋮ Blowup for semilinear parabolic equation with logarithmic nonlinearity ⋮ Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms ⋮ Cauchy problem for a non-Newtonian filtration equation with slowly decaying volumetric moisture content ⋮ Asymptotic behaviors of global weak solutions for an epitaxial thin film growth equation ⋮ Time-optimal control problem associated with a fourth-order parabolic equation

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