A frozen Levenberg-Marquardt-Kaczmarz method with convex penalty terms and two-point gradient strategy for ill-posed problems DOI
Xiaoyan Zhang, Guangyu Gao, Zhenwu Fu

et al.

Applied Numerical Mathematics, Journal Year: 2024, Volume and Issue: unknown

Published: Nov. 1, 2024

Language: Английский

Determining state space anomalies in mean field games DOI Creative Commons
Hongyu Liu, Catharine W. K. Lo

Nonlinearity, Journal Year: 2025, Volume and Issue: 38(2), P. 025010 - 025010

Published: Jan. 17, 2025

Abstract In this paper, we are concerned with the inverse problem of determining anomalies in state space associated stationary mean field game (MFG) system. We establish novel unique identifiability results for intrinsic structure these MFGs systems, including their topological and parameter configurations, several general scenarios practical interest, traffic flow, market economics epidemics. To best our knowledge, is first work that considers nonlinear coupled MFG

Language: Английский

Citations

3
Determining a Stationary Mean Field Game System from Full/Partial Boundary Measurement DOI
Minghui Ding, Hongyu Liu, Guang-Hui Zheng

et al.

SIAM Journal on Mathematical Analysis, Journal Year: 2025, Volume and Issue: 57(1), P. 661 - 681

Published: Jan. 16, 2025

.In this paper, we propose and study the utilization of Dirichlet-to-Neumann map to uniquely identify discount functions \(r, k\) cost function \(F\) in a stationary mean field game (MFG) system. This features several technical novelties that make it highly intriguing challenging. First, involves coupling two nonlinear elliptic partial differential equations. Second, simultaneous recovery multiple parameters poses significant implementation challenge. Third, there is probability measure constraint coupled equations consider. Finally, limited information available from boundary measurements adds another layer complexity problem. Considering these challenges problems, present an enhanced higher-order linearization method tackle inverse problem related MFG Our proposed approach linearizing around pair zero solutions fulfilling measurement by adjusting positive input at boundary. It worth emphasizing technique not only applicable for identifying using full-boundary but also effective utilizing partial-boundary measurements.Keywordsstationary gamesmultiple parametersunique identifiabilityfull/partial measurementCGO solutionsMSC codes49N8049N4591A16

Language: Английский

Citations

3
An online interactive physics-informed adversarial network for solving mean field games DOI
Weishi Yin,

Zhengxuan Shen,

Pinchao Meng

et al.

Engineering Analysis with Boundary Elements, Journal Year: 2024, Volume and Issue: 169, P. 106002 - 106002

Published: Oct. 25, 2024

Language: Английский

Citations

3
Spatiotemporal monitoring of epidemics via solution of a coefficient inverse problem DOI
Michael V. Klibanov, Jingzhi Li, Zhipeng Yang

et al.

Inverse Problems and Imaging, Journal Year: 2025, Volume and Issue: 0(0), P. 0 - 0

Published: Jan. 1, 2025

Language: Английский

Citations

0
Inverse problems for a quasilinear hyperbolic equation with multiple unknowns DOI
Yan Jiang, Hongyu Liu, Tianhao Ni

et al.

Journal of Functional Analysis, Journal Year: 2025, Volume and Issue: unknown, P. 110986 - 110986

Published: April 1, 2025

Language: Английский

Citations

0
Dynamical analysis of a predator-prey system with fear-induced dispersal between patches DOI Creative Commons

Jin Zhong,

Yue Xia,

Lijuan Chen

et al.

Mathematical Biosciences & Engineering, Journal Year: 2025, Volume and Issue: 22(5), P. 1159 - 1184

Published: Jan. 1, 2025

In this paper, a patchy model in which the migration is induced by fear effect on predator was investigated. By applying dynamical theory, complete study persistence of system and local/global stability equilibria were discussed. Choosing diffusion coefficient $ D_1 as bifurcation parameter, transcritical occurring near trivial equilibrium demonstrated. We concluded that low dispersal favorable for coexistence both species, but large leads to extinction species. There an optimal make density prey population reach its maximum. addition, level k maximum cost \eta are beneficial total prey.

Language: Английский

Citations

0
Introduction DOI
Yi‐Hsuan Lin, Hongyu Liu

Applied mathematical sciences, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 12

Published: Jan. 1, 2025

Citations

0
Uniqueness principle for fractional (non)-coercive anisotropic polyharmonic operators and applications to inverse problems DOI

Ching-Lung Lin,

Hongyu Liu, Catharine W. K. Lo

et al.

Inverse Problems and Imaging, Journal Year: 2024, Volume and Issue: 0(0), P. 0 - 0

Published: Jan. 1, 2024

Language: Английский

Citations

0
A frozen Levenberg-Marquardt-Kaczmarz method with convex penalty terms and two-point gradient strategy for ill-posed problems DOI
Xiaoyan Zhang, Guangyu Gao, Zhenwu Fu

et al.

Applied Numerical Mathematics, Journal Year: 2024, Volume and Issue: unknown

Published: Nov. 1, 2024

Language: Английский

Citations

0