Presents a Moreau-Yosida regularized inversion framework in periodic Sobolev spaces to recover Kohn-Sham exchange-correlation potentials via proximal mapping and limiting procedure.
Barbu.Nonlinear Differential Equations of Monotone Types in Banach Spaces
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The authors establish existence of solutions for a nonlinear drill string PDE-ODE model via maximal monotone operators and propose a funnel control law with reference adjustment to keep tracking error inside a prescribed funnel.
Authors propose and prove convergence for second-order continuous-time splitting dynamics solving stochastic monotone inclusions under closed-loop distributions, with strong and exponential rates under uniform and strong monotonicity.
Existence, uniqueness, and regularity of mild solutions are established for semilinear diffusion equations on infinite weighted graphs in the dissipative and Lipschitz cases via implicit Euler discretization and Dirichlet subgraph exhaustion, with by-product results for the stationary equation and a
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Semilinear Diffusion Equations on Infinite Graphs: The Dissipative and Lipschitz Cases
Existence, uniqueness, and regularity of mild solutions are established for semilinear diffusion equations on infinite weighted graphs in the dissipative and Lipschitz cases via implicit Euler discretization and Dirichlet subgraph exhaustion, with by-product results for the stationary equation and a