6 citations · 11 across the 6 of their papers we have counts for
8 papers
Heat content estimates for the fractional Schrödinger operator $\F+\ind$
Luis Acuña Valverde
This paper establishes by employing analytic and probabilistic techniques estimates concerning the {\it heat content} for the fractional Schrödinger operator $\F+\ind$ with $0<α\le…
On the heat content for the poisson kernels over the unit ball in the euclidean space
Luis Acuna Valverde
This paper studies, by employing analytical tools, the small time behavior of the heat content for the Poisson kernel over the unit ball in $\Rd$, by working with its rel…
Heat content estimates over sets of finite perimeter
Luis Acuna Valverde
This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the se…
On the one--dimensional spectral Heat content for stable processes
Luis Acuna Valverde
This paper provides the second term in the small time asymptotic expansion of the spectral heat content of a rotationally invariant --stable process, , for the interv…
Heat content for stable processes in domains of
Luis Acuna Valverde
This paper studies the small time behavior of the heat content of rotationally invariant --stable processes, , in domains in . Unlike the asymptotics for the he…
Heat content and small time asymptotics for Schrödinger operators on
Luis Acuña Valverde, Rodrigo Bañuelos
This paper studies the heat content} for Schrödinger operators of the fractional Laplacian , in , . Employing probabilistic and analytic techn…
A decomposition for additive functional of Levy processes
Luis Acuna Valverde
Motivated by the recent results of Nualart and Xu \cite{Nualart} concerning limits laws for occupation times of one dimensional symmetric stable processes, this paper proves a deco…
Trace Asymptotics for Fractional Schrodinger Operators
Luis Acuna Valverde
This paper proves an analogue of a result of Banuelos and Sa Barreto on the asymptotic expansion for the trace of Schrodinger operators on when the Laplacian , which is t…