The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function
We define and study C1-solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general proof that C1-solutions are absolutely minimi...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/6417074 |