On the asymptotic behaviour of solutions for some semilinear parabolic and elliptic equations of second order. (Sur le comportement asymptotique des solutions pour certaines équations paraboliques et elliptiques semi-linéaires du second ordre.) (French. Abridged English version) Zbl 0914.35022
Summary: We obtain sufficient conditions of global existence of solutions for some semilinear parabolic and elliptic equations of second order. We also give the asymptotic behaviour of these solutions. Finally, we obtain the behaviour at infinity of the solution for a particular system.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K60 | Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations |
| 35J65 | Nonlinear boundary value problems for linear elliptic equations |
