The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations-Reference-Cited by-同舟云学术

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The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations

Published:2024-08 Issue: Volume:445 Page:115827
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Abhishek Anuj,Le Thuy T.^ORCID,Nguyen Loc H.,Khan Taufiquar

Funder

Portland State University - College of Liberal Arts and Sciences

University of North Carolina

National Science Foundation

Center for Latin American Studies, Ohio State University

College of Liberal Arts and Social Sciences, University of North Texas

College of Liberal Arts and Sciences, University of Illinois Urbana-Champaign

UNC Charlotte

Publisher

Elsevier BV

Reference40 articles.

1. A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data;Le;J. Inverse Ill-posed Probl.,2022

2. The carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations;Nguyen,2022

3. Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations;Nguyen;Inverse Problems,2022

4. Linear and Quasilinear Equations of Parabolic Type;Ladyzhenskaya,1968

5. Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data;Klibanov;Inverse Problems,2006

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