References
- Pinasco JP. Blow-up for parabolic and hyperbolic problems with variable exponents. Nonlinear Anal. TMA. 2009;71:1049–1058.
- Quittner P, Souplet P. Superlinear parabolic problems, Blow-up, global existence and steady states. Birkhäuser, Basel: Birkhäuser Advanced Texts; 2007.
- Kaplan S. On the growth of the solutions of quasilinear parabolic equations. Comm. Pure Appl. Math. 1963;16:305–330.
- Ferreira R, De Pablo A, Pérez-Llanos M, Rossi JD. Critical exponents for a semilinear parabolic equation with variable reaction. Proc. Roy. Soc. Edinburgh: Sec. A. 2012;142:1027–1042.
- Wu X, Gua B, Gao W. Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy. Appl. Math. Lett. 2013;26:539–543.
- Levin HA. Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+F(u). Arch. Rational Mech. Anal. 1973;51:371–386.
- Fila M. Boundedness of global solutions of nonlinear diffusin equations. J. Differ. Equ. 1992;98:226–240.
- Kalantarov VK, Ladyzhenskaya OA. The occurrence of collapse for quasilinear equations of parabolic and hyperbolic type. Zap. Nauchn. Sem. LOMI. 1977;69:77–102.