Identifiability of an unknown coefficient in a nonlinear diffusion equation-Reference-Cited by-同舟云学术

Identifiability of an unknown coefficient in a nonlinear diffusion equation

Published:1989 Issue:1 Volume:47 Page:9-16
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Choulli M.

Abstract

We consider the problem of identifying an unknown coefficient in a one-dimensional diffusion equation from overspecified data measured in the interior of the domain. We obtain an identifiability result which is used to derive a uniqueness result for the inverse problem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1989-47-01/S0033-569X-1989-0987891-6/S0033-569X-1989-0987891-6.pdf

Reference6 articles.

1. An inverse problem for a nonlinear diffusion equation;Cannon, J. R.;SIAM J. Appl. Math.,1980

2. Monotonicity and uniqueness results in identifying an unknown coefficient in a nonlinear diffusion equation;DuChateau, Paul;SIAM J. Appl. Math.,1981

3. Boundary behavior and monotonicity estimates for solutions to nonlinear diffusion equations;DuChateau, Paul;Rocky Mountain J. Math.,1985

4. O. A. Ladyzhenskaya, Équations quasi-linéaires de types elliptiques et paraboliques, Colloque International 𝑛^{∘} 117 sur les équations aux dérivées partielles, Centre National de la Recherche Scientifique, Paris, 1963

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a class of nonlinear parabolic equations with nonlinear trace type functionals;Inverse Problems;1991-02-01

2. Uniqueness result for an unknown coefficient in a nonlinear diffusion problem;Quarterly of Applied Mathematics;1989