Stabilization of a semilinear parabolic equation in the exterior of a bounded domain by means of boundary controls
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The problem of the stabilization of a semilinear equation in the exterior of a bounded domain is considered. In view of the impossibility of an exponential stabilization of the form e{sup -{sigma}}{sup t} of the solution of a parabolic equation in an unbounded domain no matter what the boundary control is, one poses the problem of power-like stabilization by means of a boundary control. For a fixed initial condition and parameter k>0 of the rate of stabilization the existence of a boundary control such that the solution approaches zero at the rate 1/t{sup k} is demonstrated.
- OSTI ID:
- 21208357
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 10 Vol. 194; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Stabilizing a solution of the 2D Navier-Stokes system in the exterior of a bounded domain by means of a control on the boundary
Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations
Asymptotic behaviour of solutions of semilinear parabolic equations
Journal Article
·
Sun Sep 30 00:00:00 EDT 2012
· Sbornik. Mathematics
·
OSTI ID:22094056
Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations
Journal Article
·
Sun Mar 14 23:00:00 EST 1999
· Applied Mathematics and Optimization
·
OSTI ID:21064288
Asymptotic behaviour of solutions of semilinear parabolic equations
Journal Article
·
Wed Apr 30 00:00:00 EDT 2008
· Sbornik. Mathematics
·
OSTI ID:21096794