Work

Fractional Powers of the Backward Heat Operator and Carleman Type Inequalities

Year: 2025

Type: article

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.

Source: Journal of Dynamics and Differential Equations

DOI: 10.1007/s10884-025-10455-1

Author: Diana Stan

Institution: Universidad de Cantabria

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funders: Universidad de Cantabria, Agencia Estatal de Investigación

Awards: G2262748287, G3480869486, G425668148, G7084143925, G7178710763

OpenAlex ID: W4413499067

FWCI: 0.383

Cites: 28

Cited by: 1

Related to: 10