Asymptotic behavior of some nonlinear heat equations

Lions, Pierre-Louis

Lions, Pierre-Louis (1982), Asymptotic behavior of some nonlinear heat equations, Physica. D, Nonlinear Phenomena, 5, 2-3, p. 293-306. http://dx.doi.org/10.1016/0167-2789(82)90024-0

Type

Article accepté pour publication ou publié

Date

1982

Journal name

Physica. D, Nonlinear Phenomena

Volume

Number

2-3

Publisher

Elsevier

Pages

293-306

Abstract (EN)

In this paper a semilinear heat equation with a convex nonlinearity is considered. The asymptotic behavior of the solutions is completely determined and this gives, in particular, a very precise description of the global stability of stationary solutions.

Subjects / Keywords

nonlinear equations