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A novel result on regularity of time‐periodic Lagrangians
Author(s) -
Li Xia,
Liu Qihuai
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6446
Subject(s) - mathematics , semigroup , convergence (economics) , lagrangian , mathematical analysis , pure mathematics , economics , economic growth
The regularity of the Peierls barrierh c ∞for time‐periodic Lagrangian systems is equivalent to the convergence of the associated Lax‐Oleinik semigroup. In this paper, we established a novel result on the regularity, which has been applied to the convergence and nonconvergence of the Lax‐Oleinik semigroup for time‐periodic Lagrangians.