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J. Evol. Equ. 16 (2016), 501–502 © 2016 Springer International Publishing Journal of Evolution 1424-3199/16/020501-2, published online March 26, 2016 Equations DOI 10.1007/s00028-016-0328-4 Erratum Erratum to: Nonlinear maximal monotone extensions of symmetric operators Andrea Posilicano Erratum to: J. Evol. Equ. 15 (2015), 727–751 DOI 10.1007/s00028-015-0280-8 As pointed out to the author by Sascha Trostorff, the maximal monotone relation ={0}× h satisfies the hypotheses in Lemma 3.3 despite M = + (λ − λ ) G G ◦ λ violates condition (3.4). Such an example shows that the latter has not been written correctly; the right formulation is: D (M ) is λ-independent and M = M + (λ − μ) G G . (3.4) λ λ μ λ This requires to slightly modify the second part of the proof of Lemma 3.1 as follows: By (3.4), one has −1 −1 ∗ −1 ∀λ, μ ∈ Z , ∀ξ ∈ h, M (ξ ) = M (ξ + (μ − λ)G G M (ξ )) λ μ μ λ and so, by (3.2), R ◦ (1 − (λ − μ) R ) μ λ ◦ ◦ ◦ −1 ∗ = R (1 − (λ − μ) R ) −
Journal of Evolution Equations – Springer Journals
Published: Mar 26, 2016
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