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Their diversity of shape makes that inhuman and homogeneous regularity of beauty from which there is no relief or appeal in mainstream magazines, or at the collections, seem insipid.
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For homogeneous wavelet dual frames, regularity and vanishing moments have been both required.
In [4] Duzaar and Mingione considered the partial regularity of homogeneous systems of (1.9) with m ≡ 2 under the natural growth condition.
Homogeneous MPSoCs exhibit high regularity due to the fact that they are obtained by replicating the same cluster, and can be seen as a large CGRA-like architecture.
Homogeneous Catlysis: General kinetics Regularities in Homogeneous catalysis Acid-base catalysis Redox catalysis Catalysis by metal complexes Enzymes as catalysts.
The crucial parts of the proof are to employ the end-point type of maximal regularity for the homogeneous heat equation and some new bilinear estimates in the Hardy space.
The range of the results implied by such estimates is of course limited by the regularity theory of homogeneous equations as div a ( x, D w ) = 0. (28)Therefore we first recall what is the maximal regularity of solutions to equations as in (28) and in (29) below.
As already done before Theorem 6, we recall the basic information about the maximal regularity of solutions to homogeneous equations as in (29).
We show that for homogeneous operators Gaussian upper bounds and Hölder regularity of the heat kernel is equivalent to local regularity of weak solutions.
A sharp regularity theory is established for homogeneous Gaussian fields on the unit circle.
We first prove Lp (p≥2) estimates for gradients of weak solutions by using a priori estimates and a known reverse Hölder inequality, and consider regularity to the corresponding nondiagonal homogeneous degenerate elliptic systems.
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