The vanishing discount problem for monotone systems of Hamilton-Jacobi equations. Part 1: linear coupling
We establish a convergence theorem for the vanishing discount problem for a weakly coupled system of Hamilton-Jacobi equations. The crucial step is the introduction of Mather measures and their relatives for the system, which we call respectively viscosity Mather and Green-Poisson measures. This is...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-03-01
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| Series: | Mathematics in Engineering |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/mine.2021032?viewType=HTML |