A selection principle for viscosity solutions of degenerate viscous Hamilton-Jacobi equations is derived via nonlinear adjoint methods, yielding uniform convergence to any desired ergodic solution expressed through generalized Mather measures and the potential.
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Proves first-order convergence of semi-discrete monotone schemes for HJ equations on Wasserstein space over finite graphs via a weighted L1 adjoint framework with boundary-vanishing weight and bootstrap estimates on discrete gradients.
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A new selection problem for degenerate viscous Hamilton-Jacobi equations
A selection principle for viscosity solutions of degenerate viscous Hamilton-Jacobi equations is derived via nonlinear adjoint methods, yielding uniform convergence to any desired ergodic solution expressed through generalized Mather measures and the potential.
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First-Order Convergence of Monotone Schemes for Hamilton--Jacobi Equations on the Wasserstein Space on Graphs
Proves first-order convergence of semi-discrete monotone schemes for HJ equations on Wasserstein space over finite graphs via a weighted L1 adjoint framework with boundary-vanishing weight and bootstrap estimates on discrete gradients.