TY - JOUR
T1 - Weakly coupled mean-field game systems
AU - Gomes, Diogo A.
AU - Patrizi, Stefania
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: D. Gomes was partially supported by KAUST baseline and start-up funds. S. Patrizi was partially supported by NSF grant DMS-1262411 "Regularity and stability results in variational problems".
PY - 2016/7/14
Y1 - 2016/7/14
N2 - Here, we prove the existence of solutions to first-order mean-field games (MFGs) arising in optimal switching. First, we use the penalization method to construct approximate solutions. Then, we prove uniform estimates for the penalized problem. Finally, by a limiting procedure, we obtain solutions to the MFG problem. © 2016 Elsevier Ltd
AB - Here, we prove the existence of solutions to first-order mean-field games (MFGs) arising in optimal switching. First, we use the penalization method to construct approximate solutions. Then, we prove uniform estimates for the penalized problem. Finally, by a limiting procedure, we obtain solutions to the MFG problem. © 2016 Elsevier Ltd
UR - http://hdl.handle.net/10754/621512
UR - http://arxiv.org/pdf/1610.00204
UR - http://www.scopus.com/inward/record.url?scp=84978437345&partnerID=8YFLogxK
U2 - 10.1016/j.na.2016.05.017
DO - 10.1016/j.na.2016.05.017
M3 - Article
SN - 0362-546X
VL - 144
SP - 110
EP - 138
JO - Nonlinear Analysis: Theory, Methods & Applications
JF - Nonlinear Analysis: Theory, Methods & Applications
ER -