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, Vol. 194, Issue 10; Other Information: DOI: 10.1070/SM2003v194n10ABEH000773; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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