Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations

Title:

Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations

Creator:

Poláčik, P.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c9ed0a6a-be7a-4bc9-aa55-acfa5871fa35
uuid:c9ed0a6a-be7a-4bc9-aa55-acfa5871fa35
doi:10.21136/MB.2002.134162

Subject:

parabolic equations, elliptic equations, hyperbolic equations, asymptotic behavior, and center manifold

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider three types of semilinear second order PDEs on a cylindrical domain Ω × (0,∞), where Ω is a bounded domain in RN , N ≥ 2. Among these, two are evolution problems of parabolic and hyperbolic types, in which the unbounded direction of Ω × (0,∞) is reserved for time t, the third type is an elliptic equation with a singled out unbounded variable t. We discuss the asymptotic behavior, as t → ∞, of solutions which are defined and bounded on Ω × (0,∞).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

301-310

Source:

Mathematica bohemica | 2002 Volume:127 | Number:2

Harvested from:

CDK

Metadata only:

false