arXiv subjects

Luis Acuña Valverde

Publications and source records attributed to Luis Acuña Valverde.

2 recordsLinked to original sources

arXiv2018

Heat content estimates for the fractional Schrödinger operator $\F+\ind$

This paper establishes by employing analytic and probabilistic techniques estimates concerning the {\it heat content} for the fractional Schrödinger operator $\F+\ind$ with $0<α\leq 2$ in $\Rd$, $d\geq 2$ and $\dom$ a Lebesgue measure set satisfying some regularity conditions.

math.PR↗

arXiv2014

Heat content and small time asymptotics for Schrödinger operators on $R^d$

This paper studies the heat content} for Schrödinger operators of the fractional Laplacian $(-Δ)^{α/2}$, $0<α\leq 2$ in $R^d$, $d\geq 1$. Employing probabilistic and analytic techniques, a small time asymptotic expansion formula is given and the "heat content invariants" are identified. These results are new even in the case of the Laplacian, $α=2$.

math.PR↗