Uniqueness for coefficient identification in one-dimensional parabolic equations

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

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