Journal
SCIENCE CHINA-MATHEMATICS
Volume 59, Issue 5, Pages 875-890Publisher
SCIENCE PRESS
DOI: 10.1007/s11425-015-5102-5
Keywords
asymptotic behavior; viscosity solution; weak KAM theory; Hamilton-Jacobi equation
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Funding
- National Natural Science Foundation of China [11325103, 11301106, 11201288]
- China Postdoctoral Science Foundation [2014M550210]
- Guangxi Experiment Center of Information Science [YB1410]
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We study the long-time behavior of viscosity solutions for time-dependent Hamilton-Jacobi equations by the dynamical approach based on weak KAM (Kolmogorov-Arnold-Moser) theory due to Fathi. We establish a general convergence result for viscosity solutions and adherence of the graph as t -> infinity.
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