Heat content estimates for the fractional Schr\"odinger operator $\F+\ind$

Luis Acuña Valverde

Heat content estimates for the fractional Schr\"odinger operator $\F+\ind$

Probability 2018-02-19 v2

Authors: Luis Acuña Valverde

Abstract

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

Keywords

heat content fractional schrödinger operator analytic techniques probabilistic techniques lebesgue measure set regularity conditions

Cite

@article{arxiv.1802.01521,
  title  = {Heat content estimates for the fractional Schr\"odinger operator $\F+\ind$},
  author = {Luis Acuña Valverde},
  journal= {arXiv preprint arXiv:1802.01521},
  year   = {2018}
}

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