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A note on the boundedness of solutions for fractional relativistic Schrödinger equations.
- Source :
- Bulletin of Mathematical Sciences (World Scientific); Aug2022, Vol. 12 Issue 2, p1-14, 14p
- Publication Year :
- 2022
-
Abstract
- In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrôdinger operator (--Δ + I)<superscript>s</superscript>, with s ∈ (0, 1). The proof relies on a distributional Kato's inequality for (--Δ + I)<superscript>s</superscript> and on some properties of the Bessel kernel. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16643607
- Volume :
- 12
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Bulletin of Mathematical Sciences (World Scientific)
- Publication Type :
- Academic Journal
- Accession number :
- 159224889
- Full Text :
- https://doi.org/10.1142/S1664360721500107