A note on the boundedness of solutions for fractional relativistic Schrödinger equations
In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator [Formula: see text], with [Formula: see text]. The proof relies on a distributional Kato’s inequality for [Formula: see text] and on some properties of t...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2022-08-01
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| Series: | Bulletin of Mathematical Sciences |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S1664360721500107 |
| _version_ | 1811343102305107968 |
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| author | Vincenzo Ambrosio |
| author_facet | Vincenzo Ambrosio |
| author_sort | Vincenzo Ambrosio |
| collection | DOAJ |
| description | In this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator [Formula: see text], with [Formula: see text]. The proof relies on a distributional Kato’s inequality for [Formula: see text] and on some properties of the Bessel kernel. |
| first_indexed | 2024-04-13T19:22:39Z |
| format | Article |
| id | doaj.art-a7259183118740d0afba1b463384d061 |
| institution | Directory Open Access Journal |
| issn | 1664-3607 1664-3615 |
| language | English |
| last_indexed | 2024-04-13T19:22:39Z |
| publishDate | 2022-08-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Bulletin of Mathematical Sciences |
| spelling | doaj.art-a7259183118740d0afba1b463384d0612022-12-22T02:33:28ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152022-08-01120210.1142/S1664360721500107A note on the boundedness of solutions for fractional relativistic Schrödinger equationsVincenzo Ambrosio0Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 12 60131 Ancona, ItalyIn this paper, we obtain the boundedness of solutions for a class of fractional elliptic equations driven by the relativistic Schrödinger operator [Formula: see text], with [Formula: see text]. The proof relies on a distributional Kato’s inequality for [Formula: see text] and on some properties of the Bessel kernel.https://www.worldscientific.com/doi/10.1142/S1664360721500107Fractional Schrödinger operatorsKato’s inequalityregularity resultsexponential decay |
| spellingShingle | Vincenzo Ambrosio A note on the boundedness of solutions for fractional relativistic Schrödinger equations Bulletin of Mathematical Sciences Fractional Schrödinger operators Kato’s inequality regularity results exponential decay |
| title | A note on the boundedness of solutions for fractional relativistic Schrödinger equations |
| title_full | A note on the boundedness of solutions for fractional relativistic Schrödinger equations |
| title_fullStr | A note on the boundedness of solutions for fractional relativistic Schrödinger equations |
| title_full_unstemmed | A note on the boundedness of solutions for fractional relativistic Schrödinger equations |
| title_short | A note on the boundedness of solutions for fractional relativistic Schrödinger equations |
| title_sort | note on the boundedness of solutions for fractional relativistic schrodinger equations |
| topic | Fractional Schrödinger operators Kato’s inequality regularity results exponential decay |
| url | https://www.worldscientific.com/doi/10.1142/S1664360721500107 |
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