Presents a Moreau-Yosida regularized inversion framework in periodic Sobolev spaces to recover Kohn-Sham exchange-correlation potentials via proximal mapping and limiting procedure.
A Note on Linear Elliptic Systems on $\R^d$
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abstract
We are concerned with the well-posedness of linear elliptic systems posed on $\mathbb{R}^d$. The concrete problem of interest, for which we require this theory, arises from the linearization of the equations of anisotropic finite elasticity, however, our results are more generally applicable to translation-invariant problem posed on $\mathbb{R}^d$. We describe a variant of homogeneous Sobolev spaces, which are convenient for treating problems of this kind.
verdicts
UNVERDICTED 2representative citing papers
Moreau-Yosida regularization supplies a convex-analysis tool that reformulates density-functional theory, defines Kohn-Sham systems rigorously, and connects to field theories through topology.
citing papers explorer
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Moreau-Yosida-based Kohn-Sham Inversion for Periodic Systems
Presents a Moreau-Yosida regularized inversion framework in periodic Sobolev spaces to recover Kohn-Sham exchange-correlation potentials via proximal mapping and limiting procedure.
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Perspective on Moreau-Yosida Regularization in Density-Functional Theory
Moreau-Yosida regularization supplies a convex-analysis tool that reformulates density-functional theory, defines Kohn-Sham systems rigorously, and connects to field theories through topology.