Blow-up phenomena for a class of parabolic or pseudo-parabolic equation with nonlocal source

DOI10.1007/S00009-021-01735-3zbMath1462.35095OpenAlexW3137248309MaRDI QIDQ2024729

Hongwei Zhang, Gongwei Liu

Publication date: 4 May 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01735-3

zbMATH Keywords

blow-upnonblow-upupper and lower bounds of the blow-up time

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 (35K59)

Related Items (1)

Blow-up results for a class of quasilinear parabolic equation with power nonlinearity and nonlocal source

Cites Work

• Blow-up phenomena for some nonlinear pseudo-parabolic equations
• Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source
• Bounds for blow-up time in a semilinear pseudo-parabolic equation with nonlocal source
• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Stable and unstable sets for evolution of parabolic and hyperbolic type
• Invariant sets and the blow up threshold for a nonlocal equation of parabolic type
• Persistence of wavefronts in delayed nonlocal reaction-diffusion equations
• Global existence, nonexistence and asymptotic behavior of solutions for the Cauchy problem of semilinear heat equations
• Blow-up phenomena for some nonlinear parabolic problems
• Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
• Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy
• Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
• Blow-up phenomena for a nonlinear pseudo-parabolic equation with nonlocal source
• Bounds for blow-up time in nonlinear parabolic problems
• Blow‐up phenomena for a pseudo‐parabolic equation
• Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
• Lifespan for a semilinear pseudo‐parabolic equation
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
• Pseudoparabolic Partial Differential Equations

This page was built for publication: Blow-up phenomena for a class of parabolic or pseudo-parabolic equation with nonlocal source