Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data-Reference-Cited by-同舟云学术

Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data

Published:2021-12-01 Issue:4 Volume:65 Page:
ISSN:0019-2082
Container-title:Illinois Journal of Mathematics
language:
Short-container-title:Illinois J. Math.

Author:

Tuan Nguyen Huy¹,Nane Erkan²,Trong Dang Duc³

Affiliation:

1. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam; Faculty of Technology, Van Lang University, Ho Chi Minh City, Vietnam

2. Department of Mathematics and Statistics, Auburn University, Auburn, Alabama, USA

3. Department of Mathematics and Computer Science, University of Science Ho Chi Minh City, Vietnam; Vietnam National University, Ho Chi Minh City, Vietnam

Publisher

Duke University Press

Subject

General Mathematics

Reference56 articles.

1. S. Agapiou, A. M. Stuart, and Y.-X. Zhang, Bayesian posterior contraction rates for linear severely ill-posed inverse problems, J. Inverse Ill-Posed Probl. 22 (2014), 297–321.

2. S. Agapiou, S. Larsson, and A. M. Stuart, Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems, Stochastic Process. Appl. 123 (2013), no. 10, 3828–3860.

3. S. Agapiou, J. M. Bardsley, O. Papaspiliopoulos, and A. M. Stuart, Analysis of the Gibbs sampler for hierarchical inverse problems, SIAM/ASA J. Uncertain. Quantif. 2 (2014), no. 1, 511–544.

4. N. Allahverdi, A. Pozo, and E. Zuazua, Numerical aspects of large-time optimal control of Burgers equation, ESAIM Math. Model. Numer. Anal. 50 (2016), no. 5, 1371–1401.

5. B. Azmi and K. Kunish, On the stabilizability of the Burgers equation by receding horizon control, SIAM J. Control Optim. 54 (2016), no. 3, 1378–1405.

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