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These results prove the strong regularizing effect of a gradient term in the problem studied in Baras and Goldstein (1984) [3].
The connections between the strong regularizing properties of Gaussian convolution with Schwartz distribution theory have been pointed out by Florack et al. (1992).
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It is found that in the case of plane stress, strain localization into a strong (or regularized) discontinuity can occur at the onset of strain softening.
For the strong (or regularized) discontinuity to form in such inelastic quasi-brittle solids and to evolve eventually into a fully softened one, a novel strain localization analysis is then suggested.
A kinematic constraint more demanding than the classical discontinuous bifurcation condition is derived by accounting for the traction continuity and the loading/unloading states consistent with the kinematics of a strong (or regularized) discontinuity.
They proved two strong convergence results by regularizing the nonexpansive mapping T using contractions.
We achieve this by regularizing the L2-norm of the model parameters using a regularization factor.
Bilateral talks failed this week about regularizing the reunions.
Removing the infinitesimal assumption, which Hairer calls "regularizing the noise", renders an equation that can be solved.
In 1185 he issued an "assize" at Rennes regularizing the succession to military fiefs in Brittany.
The potential for regularizing the alloy behavior using isoelectronic co-doping is discussed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com