Unique continuation for a mean field game system

For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically vanishes.

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Bibliographic Details
Published inApplied mathematics letters Vol. 145; p. 108757
Main Authors Imanuvilov, Oleg, Hongyu, Liu, Yamamoto, Masahiro
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2023
Subjects
Carleman estimate
Mean field game system
Carleman estimate
Mean field game system
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Summary:For a mean field game system, we prove the unique continuation which asserts that if Cauchy data are zero on arbitrarily chosen lateral subboundary, then the solution identically vanishes.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2023.108757