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The simultaneous employment of 1,3-propanediol and di-2-pyridyl ketone in Mn carboxylate chemistry has provided access to three new, structurally-related [Mn 24 ] and [Mn 23 ] clusters. They are based on nanosized supertetrahedal T4 Mn/O structural cores and exhibit slow relaxation of magnetization below 3.5 K.more » « less
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Free, publicly-accessible full text available May 1, 2024
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We prove the existence and uniqueness of a solution of a C0Interior Penalty Discontinuous Galerkin (C0IPDG) method for the numerical solution of a fourth‐order total variation flow problem that has been developed in part I of the paper. The proof relies on a nonlinear version of the Lax‐Milgram Lemma. It requires to establish that the nonlinear operator associated with the C0IPDG approximation is Lipschitz continuous and strongly monotone on bounded sets of the underlying finite element space.
