Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity

DOI10.1016/j.jmaa.2019.01.059zbMath1483.35118OpenAlexW2911671394WikidataQ128471435 ScholiaQ128471435MaRDI QIDQ2414836

Yuzhu Han

Publication date: 17 May 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.01.059

zbMATH Keywords

semilinear heat equationlogarithmic nonlinearityblow up at infinity

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (12)

Lifespan of solutions to a damped plate equation with logarithmic nonlinearity ⋮ Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity ⋮ Extinction and non-extinction of solutions to a fast diffusion \(p\)-Laplace equation with logarithmic non-linearity ⋮ Initial boundary value problem for a damped wave equation with logarithmic nonlinearity ⋮ Well-posedness and asymptotic behavior for a pseudo-parabolic equation involving \(p\)-biharmonic operator and logarithmic nonlinearity ⋮ Non-blow-up and blow-up results to heat equations with logarithmic nonlinearity on stratified groups ⋮ Improving a method of constructing finite time blow‐up solutions and its an application ⋮ Implicit-explicit finite difference approximations of a semilinear heat equation with logarithmic nonlinearity ⋮ Infinite time blow-up of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity modeling epitaxial growth ⋮ Unnamed Item ⋮ Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups

Cites Work

• Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
• Multiple solutions to logarithmic Schrödinger equations with periodic potential
• Ground state solution for a fourth-order nonlinear elliptic problem with logarithmic nonlinearity
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Multiple solutions for the semilinear elliptic equations with the sign-changing logarithmic nonlinearity
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• Global solution and blow-up for a class of \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• A class of thin-film equations with logarithmic nonlinearity
• A logarithmic Schrödinger equation with asymptotic conditions on the potential

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