Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 21, pp. 1-18.

Title: Critical Fujita exponents for a class of quasilinear coupled parabolic  equations

Authors: Yuanyuan Nie (Jilin Univ., Changchun, China)
         Yan Leng (Northeast Electric Power Univ., Jilin, China)
         Xu Zhao  (Jilin Univ., Changchun, China)
         Qian Zhou (Jilin Univ., Changchun, China)
  
Abstract:
This article concerns the critical Fujita exponents for a class 
of quasilinear coupled parabolic equations. 
Using energy estimates, suitable supersolutions, and the comparison 
principle, the blow-up theorem of Fujita type is established, 
and the critical Fujita exponent is obtained.
Furthermore, we show that the critical case belongs to the blow-up case.

Submitted December 6, 2024. Published February 27, 2025.
Math Subject Classifications: 93B05, 93C20, 35K67.
Key Words: Coupled parabolic equations; critical Fujita exponent; critical case.