Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Comi, Giovanni Eugenio"'
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular, in the case of essentially bounded divergence-measure fields, the fu
Externí odkaz:
http://arxiv.org/abs/2310.18730
We introduce a weak formulation of the non-parametric prescribed mean curvature equation with measure data and show the existence and several properties of $BV$ solutions under natural assumptions on the prescribed measure. Our approach does not rely
Externí odkaz:
http://arxiv.org/abs/2302.10592
By employing the differential structure recently developed by N. Gigli, we first give a notion of functions of bounded variation ($BV$) in terms of suitable vector fields on a complete and separable metric measure space $(\mathbb{X},d,\mu)$ equipped
Externí odkaz:
http://arxiv.org/abs/1906.07432
Autor:
Comi, Giovanni Eugenio
In this PhD thesis, we present some developments in the theory of sets of finite perimeter, weak integration by parts formulas and systems of coupled evolution equations for nonnegative Radon measures. First, we introduce a characterization of the pe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______4054::64af88615fc7200dbe7d42c331880d9a
https://hdl.handle.net/11384/85720
https://hdl.handle.net/11384/85720
We establish the interior and exterior Gauss-Green formulas for divergence-measure fields in $L^p$ over general open sets, motivated by the rigorous mathematical formulation of the physical principle of balance law via the Cauchy flux in the axiomati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::034fd2c48db6823e74d4d57a40a15e49
https://ora.ox.ac.uk/objects/uuid:66e3d11c-93df-4c5d-879a-b6618808ca79
https://ora.ox.ac.uk/objects/uuid:66e3d11c-93df-4c5d-879a-b6618808ca79