References
- HuB. Blow-up theories for semilinear parabolic equations. Vol. 2018, Lecture Notes in Mathematics. Berlin: Springer-Verlag; 2011.
- LlanosMP, RossiJD. Blow-up for a non-local diffusion problem with Neumann boundary conditions and a reaction term. Nonlinear Anal. 2009;70:1629–1640.
- KalantarovVK, LadyzhenskayaOA. Formation of collapses in quasilinear equations of parabolic and hyperbolic types. Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. 1977;69:77–102.
- GalaktionovVA, PohozaevSI. Blow-up and critical exponents for nonlinear hyperbolic equations. Nonlinear Anal. 2003;53:453–466.
- DengK. Nonexistence of global solutions of a nonlinear hyperbolic system. Trans. Am. Math. Soc. 1997;349:1685–1696.
- DengK. Blow-up of solutions of some nonlinear hyperbolic systems. Rocky Mt. J. Math. 1999;29:807–820.
- ChungS-Y, BerensteinCA. ω-harmonic functions and inverse conductivity problems on networks. SIAM J. Appl. Math. 2005;65:1200–1226.
- CurtisEB, MorrowJA. Determining the resistors in a network. SIAM J. Appl. Math. 1990;50:918–930.
- ChungY-S, LeeY-S, ChungS-Y. Extinction and positivity of the solutions of the heat equations with absorption on networks. J. Math. Anal. Appl. 2011;380:642–652.
- Lee Y-S, Chung S-Y. Extinction and positivity of the p-Laplacian evolution equations on networks. J. Math. Anal. Appl. 2011;386:581–592. doi: 10.1016/j.jmaa.2011.08023.
- Xin Q, Mu C, Liu D. Extinction and positivity of the solutions for a p-Laplacian equation with absorption on graphs. J.Appl.Math. 2011;2011:1–12. doi: 10.1155/2011/937079.
- LevineHA. Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put = −Au + F(u). Arch. Ration. Mech. Anal. 1973;51:371–386.
- LevineHA, PayneLE. Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time. J. Differ. Equ. 1974;16:319–334.
- LevineHA, PayneLE. Some nonexistence theorems for initial-boundary value problems with nonlinear boundary constraints. Proc. Am. Math. Soc. 1974;46:277–284.