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math.CA2024
Fragment-wise differentiable structures
David Bate, Sylvester Eriksson-Bique, Elefterios Soultanis
The -modulus of curves, test plans, upper gradients, charts, differentials, approximations in energy and density of directions are all concepts associated to the theory of Sobol…
math.CA2023
On the closability of differential operators
Giovanni Alberti, David Bate, Andrea Marchese
We discuss the closability of directional derivative operators with respect to a general Radon measure on ; our main theorem completely characterizes the vectorfi…