On the blow-up of solutions for some fourth order parabolic equations

DOI10.1016/j.na.2006.03.033zbMath1113.35086OpenAlexW2095402394MaRDI QIDQ878523

Ting Cheng, Gao-Feng Zheng

Publication date: 26 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.033

zbMATH Keywords

nondegeneracy results

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

Preliminary group classification of a class of fourth-order evolution equations

Cites Work

• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• On blow-up rate for sign-changing solutions in a convex domain
• Nondegeneracy of blowup for semilinear heat equations
• Asymptotically self‐similar blow‐up of semilinear heat equations
• Refined asymptotics for the blowup of u_t — δu = u^p
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Blow up rate for semilinear heat equations with subcritical nonlinearity
• Blow-up and global asymptotics of the limit unstable Cahn--Hilliard equation
• On the growth of solutions of quasi‐linear parabolic equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the blow-up of solutions for some fourth order parabolic equations