On the decay at infinity of solutions of fractional Schrödinger equations

ABSTRACT

The present article focuses on the unique continuation at infinity for relativistic Schrödinger equations with potentials decreasing to zero at infinity.

KEYWORDS:

• Unique continuation principle at infinity
• fractional Carleman inequality
• Caffarelli-Silvestre extension

AMS SUBJECT CLASSIFICATIONS:

• Primary: 35B40
• 35J10 35B60
• Secondary: 81C05

Disclosure statement

No potential conflict of interest was reported by the author.

ORCID

Mohammed El Aïdi  http://orcid.org/0000-0002-3032-0879