Blow-up and extinction for a sixth-order parabolic equation

Abstract

In this paper, we consider an initial-boundary value problem for a sixth-order parabolic equation. We use the modified method of potential wells to study the relationship which the equation solutions existence, blow-up and the asymptotic behavior with initial conditions.

Keywords:

• Sixth-order parabolic equation
• global existence
• blow-up
• potential well

AMS Subject Classifications:

• 35G25
• 35K55
• 35B44
• 35A01

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the Jilin Scientific and Technological Development Program [grant number 20170101143JC].