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ErgodicBehavioroftheTimePeriodicHamiltonSystem(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2020年01期
Page:
18-22
Research Field:
·数学·
Publishing date:

Info

Title:
ErgodicBehavioroftheTimePeriodicHamiltonSystem
Author(s):
LiZhuo; LiXia
SchoolofMathematicsandPhysics,SuzhouUniversityofScienceandTechnology,Suzhou215009,China
Keywords:
Hamilton-Jacobiequation; viscositysolution; criticalvalue
PACS:
O193
DOI:
10.3969/j.issn.1001-4616.2020.01.004
Abstract:
thispaper,weintendtousethePDEmethodtoprovethatthereexists(-overc)≤(～overc)∈Rsuchthatu(x,t)-(-overc)tisboundedfrombelowandu(x,t)-(～overc)tisboundedfromaboveonTn×[0,∞)whenthetime1-periodicHamiltonianfunctionH(x,t,p)iscontinuouson(x,t,p)andcoerciveonp,whereu(x,t)istheviscositysolutionoftheassociatedHamilton-Jacobiequation.

References:

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Last Update: 2020-03-15