Fractional Laplacians, perimeters and heat semigroups in Carnot groups
F Ferrara, M Miranda, D Pallara, A Pinamonti… - … SYSTEMS. SERIES S, 2018 - sfera.unife.it
FRACTIONAL LAPLACIANS, PERIMETERS AND HEAT SEMIGROUPS IN CARNOT GROUPS
Fausto Ferrari Michele Miranda Jr. Diego Pallara Andrea P Page 1 Manuscript submitted to …
Fausto Ferrari Michele Miranda Jr. Diego Pallara Andrea P Page 1 Manuscript submitted to …
On the domain of fractional Laplacians and related generators of Feller processes
F Kühn, RL Schilling - Journal of Functional Analysis, 2019 - Elsevier
In this paper we study the domain of the generator of stable processes, stable-like processes
and more general pseudo-and integro-differential operators which naturally arise both in …
and more general pseudo-and integro-differential operators which naturally arise both in …
Spectral heat content for Lévy processes
In this paper we study the spectral heat content for various Lévy processes. We establish the
small time asymptotic behavior of the spectral heat content for Lévy processes of bounded …
small time asymptotic behavior of the spectral heat content for Lévy processes of bounded …
Small time asymptotics of spectral heat contents for subordinate killed Brownian motions related to isotropic ‐stable processes
In this paper, we study the small time asymptotic behavior of the spectral heat content Q∼ D
(α)(t) of an arbitrary bounded C 1, 1 domain D with respect to the subordinate killed …
(α)(t) of an arbitrary bounded C 1, 1 domain D with respect to the subordinate killed …
Spectral heat content for time-changed killed Brownian motions
K Kobayashi, H Park - Journal of Theoretical Probability, 2023 - Springer
The spectral heat content is investigated for time-changed killed Brownian motions on C 1, 1
open sets, where the time change is given by either a subordinator or an inverse …
open sets, where the time change is given by either a subordinator or an inverse …
Estimates concerning the heat content for the Schrödinger operator related to a subordinate Brownian motion
LA Valverde - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
In this paper, we study the heat content for the Schrödinger operator related to a subordinate
Brownian motion and we also establish its small time asymptotic behavior for suitable …
Brownian motion and we also establish its small time asymptotic behavior for suitable …
Asymptotics of non-local perimeters
We introduce a notion of non-local perimeter which is defined through an arbitrary positive
Borel measure on R d which integrates the function 1∧| x|. Such definition of non-local …
Borel measure on R d which integrates the function 1∧| x|. Such definition of non-local …
On the heat content for the Poisson heat kernel over convex bodies
LA Valverde - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper, the small time asymptotic behavior of the heat content related to the Poisson
heat kernel over convex bodies of the euclidean space R d, d≥ 2, shall be investigated. A …
heat kernel over convex bodies of the euclidean space R d, d≥ 2, shall be investigated. A …
On the heat content for the Poisson kernel over the unit ball in the euclidean space
LA Valverde - Bulletin of the London Mathematical Society, 2020 - Wiley Online Library
This paper studies, by employing analytical tools, the small‐time behavior of the heat
content for the Poisson kernel over the unit ball in R d, d⩾ 2 by working with its related set …
content for the Poisson kernel over the unit ball in R d, d⩾ 2 by working with its related set …
Heat content estimates for the fractional Schrödinger operator
LA Valverde - Journal of Spectral Theory, 2020 - ems.press
Heat content estimates Page 1 J. Spectr. Theory 10 (2020), 599–616 DOI 10.4171/JST/306
Journal of Spectral Theory © European Mathematical Society Heat content estimates for the …
Journal of Spectral Theory © European Mathematical Society Heat content estimates for the …