Influence of variable coefficients on global existence of solutions of semilinear heat equations with nonlinear boundary conditions

We consider semilinear parabolic equations with nonlinear boundary con-ditions. We give conditions which guarantee global existence of solutions as well as blow-up in finite time of all solutions with nontrivial initial data. The results depend on the behavior of variable coefficients as t → ∞. © 2020, University of Szeged. All rights reserved.