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 conditions. 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 → ∞

Elmentve itt :
Bibliográfiai részletek
Szerzők: Gladkov Alexander
Guedda Mohammed
Dokumentumtípus: Folyóirat
Megjelent: 2020
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.2020.1.63

Online Access:http://acta.bibl.u-szeged.hu/73624
Leíró adatok
Tartalmi kivonat:We consider semilinear parabolic equations with nonlinear boundary conditions. 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 → ∞
Terjedelem/Fizikai jellemzők:11
ISSN:1417-3875