References
- Galaktionov VA, Kurdyumov SP, Mikhailov AP, et al. On unbounded solutions of the Cauchy problem for a parabolic equation ut = ∇ (uα ∇u) + uβ, Dokl. Akad. Nauk SSSR, 1980:252;1362–1364, (Russian). English translation Soviet. Phys. Dokl. 1980;25:458–459.
- Galaktionov VA. Boundary value problems for the nonlinear parabolic equation ut=Δu1+α + uβ, Differentsial’nye Uravneniya, 1981:17;836–842, (Russian). English translation Differ. Equ. 1981;17:551–556.
- Kawanago T. Existence and behaviour of solutions for ut = Δ(um) +u1. Adv. Math. Sci. Appl. 1997;7:367–400.
- Meier P. On the critical exponent for reaction--diffusion equations. Arch. Rational Mech. Anal. 1990;109:63–71.
- Bandle C, Levine HA. Fujita type phenomena for reaction-diffusion equations with convection like terms. Differ. Integral Equ. 1994;7:1169–1193.
- Aguirre J, Escobedo M. On the blow-up of solutions of a convective reaction diffusion equation. Proc. Roy. Soc. Edinburgh Sect. A. 1993;123:433–460.
- Suzuki R. Existence and nonexistence of global solutions to quasilinear parabolic equations with convection. Hokkaido Math. J. 1998;27:147–196.
- Wang Z, Yin J, Wang C, et al. Large time behavior of solutions to Newtonian filtration equation with nonlinear boundary sources. J. Evol. Equ. 2007;7:615–648.
- Guo W, Gao W, Guo B. Global existence and blowing-up of solutions to a class of coupled reaction-convection-diffusion systems. Appl. Math. Lett. 2014;28:72–76.
- Wang L, Yin J, Wang Z. Large time behavior of solutions to Newtonian filtration equations with sources. Acta Math. Sci. Ser. B Engl. Ed. 2010;30:968–974.
- Bandle C, Levine HA. On the existence and nonexistence of global solutions of reaction--diffusion equations in sectorial domains. Trans. Amer. Math. Soc. 1989;316:595–624.
- Liu C. The critical Fujita exponent for a diffusion equation with a potential term. Lithuanian Math. J. 2014;54:182–191.
- Meier P. Existence et non-existence de solutions globales d’une équation de la chaleur semi-linéaire: extension d’un théorème de Fujita [Existence and nonexistence of global solutions of a semilinear heat equation: extension of a theorem of Fujita]. C. R. Acad. Sci. Paris Sér. I. Math. 1986;303:635–637.
- Mitidieri E, Pohozaev S. A priori estimates and the absence of solutions of nonlinear partial differential equations and inequalities, Tr. Mat. Inst. Steklova, 2001:234;1–384, (Russian). English translation in. Proc. Steklov Inst. Math. 2001;3:1–362.