References
- Arrieta J, Carvalho AN, Rodríguez-Bernal A. Attractors of parabolic problems with nonlinear boundary conditions: uniform bounds. Commun Partial Differ Equ. 2000;25:1–37.
- Arrieta J, Carvalho AN, Rodríguez-Bernal A. Upper semi-continuity of attractors for parabolic problems with localized large diffusion and nonlinear boundary condition. J Differ Equ. 2000;168:33–59.
- Rodríguez-Bernal A, Tajdine A. Nonlinear balance for reaction diffusion equations under nonlinear boundary conditions: dissipativity and blow-up. J Differ Equ. 2001;169:332–372.
- Rodríguez-Bernal A. Attractors for parabolic equations with nonlinear boundary conditions. J Differ Equ. 2002;181:165–196.
- Kalashnikov AS. The propagation of disturbances in problems of nonlinear heat conduction with absorption. USSR Comput Math Math Phys. 1974;14:70–85.
- Chung SY, Park JH. A complete characterization of nonlinear absorption for the evolution p-Laplacian equations to have positive or extincive solutions. Comput Math Appl. 2016;71:1624–1635.
- Gu YG. Necessary and sufficient conditions of extinction of solution on parabolic equations. Acta Math Sin. 1994;37:73–79.
- Han Y, Gao W, Li H. Extinction and non-extinction of solutions to a fast diffusive p-Laplacian equation with a nonlocal source. Bull Korean Math Soc. 2014;51:55–66.
- Liu W, Wu B. A note on extinction for fast diffusive p-Laplacian with sources. Math Methods Appl Sci. 2008;31:1383–1386.
- Liu D, Mu C. Extinction for a quasilinear parabolic equation with a nonlinear gradient source. Taiwan J Math. 2014;18:1329–1343.
- Liu D, Mu C, Zuo G. Critical extinction exponent for a quasilinear parabolic equation with a gradient source. J Appl Math Comput. 2015;48:335–348.
- Liu D, Mu C. Critical extinction exponent for a doubly degenerate non-divergent parabolic equation with a gradient source. Appl Anal. 2018;97:2132–2141.
- Tian Y, Mu C. Extinction and non-extinction for a p-Laplacian equation with nonlinear source. Nonlinear Anal. 2008;69:2422–2431.
- Yin J, Jin C. Critical extinction and blow-up exponents for fast diffusive p-Laplacian with sources. Math Methods Appl Sci. 2007;30:1147–1167.
- Dao NA, Díaz JI. The extinction versus the blow-up: global and non-global existence of solutions of source types of degenerate parabolic equations with a singular absorption. J Differ Equ. 2017;263:6764–6804.
- Fang ZB, Xu X. Extinction behavior of solutions for the p-Laplacian equations with nonlocal sources. Nonlinear Anal RWA. 2012;13:1780–1789.
- Liu W. Extinction properties of solutions for a class of fast diffusive p-Laplacian equations. Nonlinear Anal. 2011;74:4520–4532.
- Li Y, Zhang Z, Zhu L. Classification of certain qualitative properties of solutions for the quasilinear parabolic equations. Sci China Math. 2018;61:855–868.
- Xu X, Fang ZB. Extinction and decay estimates of solutions for a p-Laplacian evolution equation with nonlinear gradient source and absorption. Bound Value Probl. 2014;2014:1–17.
- Antontsev S, Öztürk E. Well-posedness and long-time behavior for p-Laplacian equation with nonlinear boundary condition. J Math Anal Appl. 2019;472:1604–1630.
- Guo B, Gao W. Non-extinction of solutions to a fast diffusive p-Laplace equation with Neumann boundary conditions. J Math Anal Appl. 2015;422:1527–1531.
- Li J, Han Y, Li H. Blow-up and extinction of solutions to a fast diffusion equation with homogeneous Neumann boundary conditions. Electron J Differ Equ. 2016;2016:1–10.
- Ning S. Extinction in finite time of solutions to degenerate parabolic equations with nonlinear boundary conditions. J Math Anal Appl. 2000;246:503–519.
- Nerlich A. Asymptotic results for solutions of a weighted p-Laplacian evolution equation with Neumann boundary conditions. Nonlinear Differ Equ Appl. 2017;24:1–21.
- Qu C, Bai X, Zheng S. Blow-up versus extinction in a nonlocal p-Laplace equation with Neumann boundary conditions. J Math Anal Appl. 2014;412:326–333.
- Leung AW, Zhang Q. Finite extinction time for nonlinear parabolic equations with nonlinear mixed boundary data. Nonlinear Anal TMA. 1998;31:1–13.
- Wu ZQ, Zhao JN, Yin JX, et al. Nonlinear diffusion equations. River Edge: World Scientific; 2001.
- Nakao M. Global existence and gradient estimates for the quasilinear parabolic equations of m-Laplacian type with a nonlinear convection term. J Differ Equ. 2000;162:224–250.