Asymptotic behavior of global solutions to a class of mixed pseudo-parabolic Kirchhoff equations

DOI10.1016/j.aml.2021.107119zbMath1475.35041OpenAlexW3132696789MaRDI QIDQ2233230

Yanyan Li

Publication date: 15 October 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107119

zbMATH Keywords

Kirchhoff equationground state solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ The asymptotic behaviors of solutions for higher-order \((m_1, m_2)\)-coupled Kirchhoff models with nonlinear strong damping ⋮ Initial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations

Cites Work

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• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Global nonexistence for nonlinear Kirchhoff systems
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• Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
• Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
• Blow-up and extinction for a thin-film equation with initial-boundary value conditions
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
• Digital Removal of Random Media Image Degradations by Solving the Diffusion Equation Backwards in Time
• GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION

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