References
- Pao CV . Nonlinear parabolic and elliptic equations. New York (NY): Plenum; 1992.
- Furter J , Grinfield M . Local vs. non-local interactions in populations dynamics. J Math Biol. 1989;27:65–80.
- Vázquez JL . The porous medium equation: mathematical theory. Mesoscopic Phys Nanotechnol. 2007;284:479002.
- Fujita H . On the blowing up of solution of the Cauchy problem for ut = Δu + u 1+α . J Fac Sci Univ Tokyo Sect. 1966;I(13):109–124.
- Hayakawa K . On nonexistence of global solutions of some semilinear parabolic equation. Proc Japan Acad. 1973;49:503–505.
- Weissler FB . Existence and nonexistence of global solutions for a semilinear heat equation. Israel J Math. 1981;38:29–40.
- Galaktionov VA . Conditions for nonexistence as a whole and localization of the solutions of Cauchy’s problem for a class of nonlinear parabolic equations. Zh Vychisl Mat Mat Fiz. 1985;23:1341–1354.
- Qi YW . Critical exponents of degenerate parabolic equations. Sci China. 1995;38A:1153–1162.
- Galaktionov VA , Levine HA . A general approach to critical Fujita exponents in nonlinear parabolic problems. Nonlinear Anal. 1998;34:1005–1027.
- Afanas’eva NV , Tedeev AF . Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source. Ukr Math J. 2005;57:1687–1711.
- Lee TY , Ni WM . Global existence, large time behavior and life span on solutions of a semilinear parabolic Cauchy problem. Trans Am Math Soc. 1992;333:365–378.
- Mu CL , Li YH , Wang Y . Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values. Nonlinear Anal RWA. 2010;11:198–206.
- Li YH , Mu CL . Life span and a new critical exponent for a degenerate parabolic equation. J Diff Equ. 2004;207:392–406.
- Mu CL , Zeng R , Zhou SM . Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values. J Math Anal Appl. 2011;384:181–191.
- Yang CX , Ji FY , Zhou SS . The second critical exponent for a semilinear nonlocal parabolic equation. J Math Anal Appl. 2014;418:231–237.
- Zhao JN . On the Cauchy problem and initial traces for the evolution p-Laplacian equations with strongly nonlinear sources. J Differ Equ. 1995;121:329–383.
- Dibenedetto E . Degenerate parabolic equations. New York (NY): Springer; 1993.