References
- Padrón V. Effect of aggregation on population recovery modeled by a forward–backward pseudoparabolic equation. Trans Amer Math Soc. 2004;356(7):2739–2756.
- Brill H. A semilinear Sobolev evolution equation in a Banach space. J Differ Equ. 1977;24:412–425.
- Cao Y, Yin JX. Small perturbation of a semilinear pseudo-parabolic equation. Discrete Contin Dyn Syst. 2016;36(2):631–642.
- Cao Y, Yin YX, Wang CP. Cauchy problems of semilinear pseudo-parabolic equations. J Differ Equ. 2009;246:4568–4590.
- Di H, Shang Y, Peng XM. Blow-up phenomena for a pseudo-parabolic equation with variable exponents. Appl Math Lett. 2017;64:67–73.
- Ji SM, Yin JX, Cao Y. Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity. J Differ Equ. 2016;261(10):5446–5464.
- Li QW, Gao WJ, Han YZ. Global existence blow up and extinction for a class of thin-film equation. Nonl Anal. 2016;147:96–109.
- Showalter RE, Ting TW. Pseudoparabolic partial differential equations. SIAM J Math Anal. 1970;1:1–26.
- Xu RZ, Su J. Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations. J Funct Anal. 2013;264:2732–2763.
- Baghaei K, Ghaemi MB, Hesaaraki M. Lower bounds for blow-up time in a semilinear parabolic problem involving variable source. Appl Math Lett. 2014;27:49–52.
- Khelghati A, Khadijeh B. Blow-up in a semilinear parabolic problem with variable source under positive initial energy. Appl Anal. 2015;94:1888–1896.
- Wu XL, Guo B, Gao WJ. Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy. Appl Math Lett. 2013;26:539–543.
- Zhou J, Yang D. Upper bound estimate for the blow-up time of an evolution m-Laplace equation involving variable source and positive initial energy. Comput Math Appl. 2015;69:1463–1469.
- Payne LE, Sattinger DH. Saddle points and instability of nonlinear hyperbolic equations. Israel J Math. 1975;22:273–303.
- Qu CY, Zhou WS. Blow-up and extinction for a thin-film equation with initial-boundary value conditions. J Math Anal Appl. 2016;436:796–809.