Uniqueness for coefficient identification in one-dimensional parabolic equations
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Date
2017-01-10
Authors
Wu, Xuewen
Wei, Guangsheng
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Inverse problem, Spectral data, Parabolic equations
Citation
Wu, X., & Wei, G. (2017). Uniqueness for coefficient identification in one-dimensional parabolic equations. <i>Electronic Journal of Differential Equations, 2017</i>(07), pp. 1-7.
Rights
Attribution 4.0 International