A complete classification of initial energy in a \(p ( x )\)-Laplace pseudo-parabolic equation

DOI10.1016/J.AML.2020.106664zbMath1450.35151OpenAlexW3047827174MaRDI QIDQ2006357

Bingchen Liu, Xizheng Sun

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106664

zbMATH Keywords

global existencemountain pass level

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (9)

Classification of initial energy to a pseudo-parabolic equation with \(p(x)\)-Laplacian ⋮ Singular solutions in a \(p(x)\)-Laplace equation with multi-sources ⋮ Blow-up for a pseudo-parabolic equation with variable nonlinearity depending on \(( x , t )\) and negative initial energy ⋮ Singular solutions for the fourth‐order parabolic equation with nonstandard growth conditions and absorption ⋮ Global existence and regularity for a pseudo-parabolic equation with \(p(x,t)\)-Laplacian ⋮ Classification of singular solutions in a nonlinear fourth-order parabolic equation ⋮ Energy classification in a nonstandard fourth‐order parabolic equation with a Navier boundary condition ⋮ Classification of initial energy in a pseudo-parabolic equation with variable exponents ⋮ Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source

Cites Work

• Blow-up phenomena for a pseudo-parabolic equation with variable exponents
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Cauchy problems of semilinear pseudo-parabolic equations
• Global existence and blow-up of weak solutions for a pseudo-parabolic equation with high initial energy
• Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
• Finite time blowup for a semilinear pseudo-parabolic equation with general nonlinearity
• Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
• Evolution PDEs with Nonstandard Growth Conditions

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