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math.FA2026
Nonlocal Fourier Laws for Heat Propagation via Fractional powers of Vector Operators
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
The present work is devoted to the study of fractional powers of vector operators, with particular emphasis on the gradient operator with non-constant coefficients. Within the sett…
math.FA2024
The -functional calculus for bisectorial Clifford operators
Francesco Mantovani, Peter Schlosser
The aim of this article is to introduce the H-infinity functional calculus for unbounded bisectorial operators in a Clifford module over the algebra R_n. While recent studies have…
math.FA2024
Spectral properties of the gradient operator with nonconstant coefficients
Fabrizio Colombo, Francesco Mantovani, Peter Schlosser
In mathematical physics, the gradient operator with nonconstant coefficients encompasses various models, including Fourier's law for heat propagation and Fick's first law, that rel…