Blow-Up Phenomena for a Sixth-Order Partial Differential Equation with a General Nonlinearity
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
https://link.springer.com/content/pdf/10.1007/s10883-023-09651-3.pdf
Reference15 articles.
1. Galaktionov VA, Mitidieri EL, Pohozaev SI. Blow-up for higher-order parabolic, hyperbolic, dispersion and Schrödinger equations. Boca Raton: CRC Press; 2014.
2. Han Y. Blow-up phenomena for a fourth-order parabolic equation with a general nonlinearity. J Dyn Control Syst. 2021;71:261–70.
3. Levine HA. Some nonexistence and instability theorems for solutions of formally parabolic equation of the form $$P u_{t}=-Au+ \cal{F} u $$. Arch Ration Mech Anal. 1973;51:371–86.
4. Li W, Zhang L, An Y. The existence of positive solutions for a nonlinear sixth-Order boundary value problem. ISRN Appl Math. 2012; Article ID 926952: 12 pages.
5. Liu H, Liu C. Blow-up and extinction for a sixth-order parabolic equation. Appl Anal. 2019;98:2378–99.
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