FRACTIONAL SOBOLEV SPACES VIA RIEMANN-LIOUVILLE DERIVATIVES

Fractional Sobolev Spaces via Riemann-Liouville Derivatives

Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, define WOMENS FOOTWEAR weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones.Next, we prove equivalence of some norms in the introduced spaces and derive Tail bags their completeness, reflexivity, separability, and comp

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Efficient big data assimilation through sparse representation: A 3D benchmark case study in petroleum engineering.

Data assimilation is an important discipline in geosciences that aims to combine the information contents from both prior geophysical models and observational data (observations) to obtain improved model estimates.Ensemble-based methods are among the state-of-the-art assimilation algorithms in the data assimilation community.When applying ensemble-

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