Recent trends in optimal control and partial differential equations
timetable:
Mon 8 May, 17:00 - 17:30, Aula Dini
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A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications
speaker: Fabio Camilli (Università di Roma La Sapienza)abstract: We study continuous dependence estimates for viscous Hamilton- Jacobi equations defined on a network Γ. Given two Hamilton-Jacobi equations, we prove an estimate on the C 2 -norm of the difference between the corresponding solutions in terms of the L∞ distance among the coefficients. We also provide two applications of the previous estimate: the first one is an existence and uniqueness result for a quasi-stationary Mean Field Games defined on the network Γ; the second one is an estimate of the rate of convergence for homogenization of viscous Hamilton- Jacobi equations defined on a periodic network, when the size of the cells vanishes and the limit
problem is defined in the whole Euclidean space.
timetable:
Mon 8 May, 17:00 - 17:30, Aula Dini
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