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Root operators and ``evolution'' equations - MaRDI portal

Root operators and ``evolution'' equations (Q901438)

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scientific article; zbMATH DE number 6528846
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Root operators and ``evolution'' equations
scientific article; zbMATH DE number 6528846

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    Root operators and ``evolution'' equations (English)
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    12 January 2016
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    Summary: Root-operator factorization à la Dirac provides an effective tool to deal with equations, which are not of evolution type, or are ruled by fractional differential operators, thus eventually yielding evolution-like equations although for a multicomponent vector. We will review the method along with its extension to root operators of degree higher than two. Also, we will show the results obtained by the Dirac-method as well as results from other methods, specifically in connection with evolution-like equations ruled by square-root operators, that we will address to as relativistic evolution equations.
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    Dirac equation
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    evolution equation
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    root operator
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    root-operator factorization
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