Critical blow-up exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption

摘要

This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocalsource and interior absorption with Dirichlet conditions or Neumann conditions. We investigatethe critical blow-up exponents of the problem by constructing adequate supersolutions andsubsolutions. Moreover, we show that the blowup rate is the same as the corresponding ODE underthe appropriate hypotheses.