3 papers
math.PR2018
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…
math.PR2016
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…
math.PR2012
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…