Fractional powers of the backward heat operator and Carleman type inequalities

Abstract

In this paper we derive the fractional power of the backward heat operator as a high dimensional limit of the fractional Laplacian. As applications, we derive Carleman type inequalities for fractional powers of the backward heat operator.

arXiv comment16 pages

References in corpus (2)

• Nonlocal diffusion and applications
• Parabolic theory as a high-dimensional limit of elliptic theory

Cited by in corpus (1)

• Fractional Parabolic Theory as a High-Dimensional Limit of Fractional Elliptic Theory