On the mean field games system with lateral Cauchy data via Carleman estimates

Klibanov，Michael V.1; Li，Jingzhi2; Liu，Hongyu3

2024

10.1515/jiip-2023-0089

Journal of Inverse and Ill-Posed Problems   影响因子和分区

0928-0219

1569-3945

The second-order mean field games system (MFGS) in a bounded domain with the lateral Cauchy data are considered. This means that both Dirichlet and Neumann boundary data for the solution of the MFGS are given. Two Hölder stability estimates for two slightly different cases are derived. These estimates indicate how stable the solution of the MFGS is with respect to the possible noise in the lateral Cauchy data. Our stability estimates imply uniqueness. The key mathematical apparatus is the apparatus of two new Carleman estimates.

Carleman estimates Hölder stability ill-posed and inverse problems lateral Cauchy data Mean field games system uniqueness

SCI ; EI

英语

其他

Mathematics

Mathematics, Applied ; Mathematics

WOS:001155705900001

WALTER DE GRUYTER GMBH

2-s2.0-85183956551

Scopus

1.Department of Mathematics and Statistics,University of North Carolina at Charlotte,Charlotte,28223,United States
2.Department of Mathematics,National Center for Applied Mathematics Shenzhen & SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China
3.Department of Mathematics,City University of Hong Kong,Kowloon,Hong Kong

Klibanov，Michael V.,Li，Jingzhi,Liu，Hongyu. On the mean field games system with lateral Cauchy data via Carleman estimates[J]. Journal of Inverse and Ill-Posed Problems,2024,32(2).

Klibanov，Michael V.,Li，Jingzhi,&Liu，Hongyu.(2024).On the mean field games system with lateral Cauchy data via Carleman estimates.Journal of Inverse and Ill-Posed Problems,32(2).

Klibanov，Michael V.,et al."On the mean field games system with lateral Cauchy data via Carleman estimates".Journal of Inverse and Ill-Posed Problems 32.2(2024).