A class of fourth-order parabolic equation with logarithmic nonlinearity

DOI10.1186/s13660-018-1920-7zbMath1498.35324OpenAlexW2902389764WikidataQ59807649 ScholiaQ59807649MaRDI QIDQ2061458

Pingping Li, Chein-Shan Liu

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1920-7

zbMATH Keywords

blow-upglobal existencelogarithmic source term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Blow-up in context of PDEs (35B44)

Related Items

Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity, Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations, Well-posedness and asymptotic behavior for a pseudo-parabolic equation involving \(p\)-biharmonic operator and logarithmic nonlinearity, Classification of singular solutions in a nonlinear fourth-order parabolic equation, Well‐posedness and asymptotic behavior for a p‐biharmonic pseudo‐parabolic equation with logarithmic nonlinearity of the gradient type, Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation, A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms, On a singular parabolic \(p\)-biharmonic equation with logarithmic nonlinearity

Cites Work

• Blow-up for a thin-film equation with positive initial energy
• Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global existence, blow up and extinction for a class of thin-film equation
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Degenerate parabolic equations
• 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
• Global weak solutions to a higher order nonlinear degenerate parabolic equation
• 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
• Blow-up and extinction for a thin-film equation with initial-boundary value conditions
• Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term
• Blow-up and extinction for a sixth-order parabolic equation