In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator (-Δ + I)s, with s (0, 1). The proof relies on a distributional Kato's inequality for (-Δ + I)s and on some properties of the Bessel kernel.
A note on the boundedness of solutions for fractional relativistic Schrödinger equations / Ambrosio, V.. - In: BULLETIN OF MATHEMATICAL SCIENCES. - ISSN 1664-3607. - 12:2(2022). [10.1142/S1664360721500107]
A note on the boundedness of solutions for fractional relativistic Schrödinger equations
Ambrosio V.
2022-01-01
Abstract
In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator (-Δ + I)s, with s (0, 1). The proof relies on a distributional Kato's inequality for (-Δ + I)s and on some properties of the Bessel kernel.File in questo prodotto:
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