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- Title
UNIQUENESS FOR COEFFICIENT IDENTIFICATION IN ONE-DIMENSIONAL PARABOLIC EQUATIONS.
- Authors
XUEWEN WU; GUANGSHENG WEI
- Abstract
This article concerns the question of uniqueness in the identification of coefficients in a one-dimensional parabolic partial differential equation. The solution of an initial-boundary value problem is observed at one internal point over a finite time interval. It is shown that, under the condition that the coefficient is known a priori on a subinterval, the coefficient on the entire interval is uniquely determined by such observation.
- Subjects
UNIQUENESS (Mathematics); PARTIAL differential equations; PARABOLIC differential equations; BOUNDARY value problems; COEFFICIENTS (Statistics)
- Publication
Electronic Journal of Differential Equations, 2017, Vol 2017, Issue 1-54, p1
- ISSN
1550-6150
- Publication type
Article