scientific article; zbMATH DE number 7023500

zbMath1406.35146MaRDI QIDQ4623164

Jiaojiao Wang, Chein-Shan Liu

Publication date: 14 February 2019

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2019/08/abstr.html#latest

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zbMATH Keywords

decayblow-upextinctionnon-extinction\(p\)-biharmonic parabolic equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (6)

Well-posedness and asymptotic behavior for a pseudo-parabolic equation involving \(p\)-biharmonic operator and logarithmic nonlinearity ⋮ Well-posedness and asymptotic behavior for the dissipative \(p\)-biharmonic wave equation with logarithmic nonlinearity and damping terms ⋮ Well‐posedness and asymptotic behavior for a p‐biharmonic pseudo‐parabolic equation with logarithmic nonlinearity of the gradient type ⋮ Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth ⋮ Blow up for a fourth order hyperbolic equation with the logarithmic nonlinearity ⋮ On a singular parabolic \(p\)-biharmonic equation with logarithmic nonlinearity

Cites Work

• Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Blowup, extinction and non-extinction for a nonlocal \(p\)-biharmonic parabolic equation
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
• Compact sets in the space \(L^ p(0,T;B)\)
• Blow-up and decay for a class of pseudo-parabolic \(p\)-Laplacian equation with logarithmic nonlinearity
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• A sixth order degenerate equation with the higher order p-laplacian operator
• Weak Solutions for a Fourth Order Degenerate Parabolic Equation
• A new method to obtain decay rate estimates for dissipative systems
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