A new functional calculus definition for fractional powers of bisectorial vector operators rigorously grounds nonlocal Fourier laws for heat propagation.
Guzman, Growth properties of semigroups generated by fractional powers of certain linear operators, J
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Nonlocal Fourier Laws for Heat Propagation via Fractional powers of Vector Operators
A new functional calculus definition for fractional powers of bisectorial vector operators rigorously grounds nonlocal Fourier laws for heat propagation.