Resumen de Blow-up Results for a Reaction-Diffusion System
Yusuke Yamauchi
We consider the Cauchy problem for the reaction-diffusion system with the nonlinear terms |x| jupj vqj . In this system, the exponents p1 and q2 play a crucial role to determine the behavior of the solutions. Using an ODE method, we prove the Fujita-type nonexistence results for p1, q2 < 1, for q2 < 1 < p1 or for p1, q2 > 1. Moreover, we also show the nonexistence results for large initial data.
