References
- Friedman A. Partial differential equations of parabolic type. Englewood Cliffs (NJ): Prentice Hall; 1964.
- Uda Y. The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations. Z Angew Math Phys. 1995;46:366–383. doi: 10.1007/BF01003556
- Cao XR, Bai XL, Zheng SN. Critical Fujita curve for a semilinear parabolic system with time-weighted sources. Appl Anal. 2014;933:597–605. doi: 10.1080/00036811.2013.794937
- Bai XL, Zheng SN, Wang W. Critical exponent for parabolic system with time-weighted sources in bounded domain. J Funct Anal. 2013;265:941–952. doi: 10.1016/j.jfa.2013.05.023
- Liu BC, Lin HY. A Cauchy problem of spatial-weighted reaction C diffusion equations. Appl Math Lett. 2019;92:128–133. doi: 10.1016/j.aml.2019.01.021
- Brändle C, Quirós F, Rossi JD. The role of non-linear diffusion in non-simultaneous blow-up. J Math Anal Appl. 2005;308:92–104. doi: 10.1016/j.jmaa.2004.11.004
- Du YN, Liu BC. Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent. Comput Math Appl. 2018;9283:0898–1221.
- Hu B. Blow up theories for semilinear parabolic equations. Berlin: Springer-Verlarg; 2011. (Lecture notes in mathematics 1022).
- Li LL, Sun HR, Zhang QG. Existence and nonexistence of global solutions for a semilinear reaction-diffusion system. J Math Anal Appl. 2017;445:97–124. doi: 10.1016/j.jmaa.2016.07.067
- Pinsky RG. Existence and nonexistence of global solutions for ut=Δu+a(x)up in Rd. J Differ Equ. 1997;133:152–177. doi: 10.1006/jdeq.1996.3196
- Chlebik M, Fila M. From critical exponents to blow-up rates for parabolic systems. Rendiconti Matematica. 1999;19:449–470.
- Liu BC, Li FJ. Blow-up properties for heat equations coupled via different nonlinearities. J Math Anal Appl. 2008;347:294–303. doi: 10.1016/j.jmaa.2008.06.004