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We also give the regularity for the nonlinear equation.
In Section 3, we give the regularity for nonlinear equation (1.2).
The regularity for the nonlinear variational inequalities of semilinear parabolic type was studied in [5].
In the (possibly degenerate) semi-linear case, Ren et al. (2016a) and Ren (2016) studied the regularity for PPDEs directly.
For the technical reasons, there is no result on the computation for the regularity for H ∈ ( 0, 1 4 ).
It is Lemma 4.9 and Lemma 4.10 that we need to address the regularity for the solution of (1.1).
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The regularity of ϕ for Neumann problems can be found in Theorem 1.4 of [11].
We expected a LAN for the regularity contrast for low frequency verbs and, if rules are activated for high frequency verbs as well, also for high frequency verbs.
ANOVAs for each time-window (Table 2) revealed three-way interactions of Regularity×Frequency×ROI, suggesting differences in scalp distribution for the regularity effect for high and low frequency verbs.
The uniqueness follows using the elliptic regularity for the elliptic transmission problem (see [11]).We suppose that there exist two solutions,, and we denote (3.28).
They extract explicit rates Φ of metastability (in the sense of Tao) for the asymptotic regularity for the Krasnoselskii-Mann iteration schema.
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