HIGHER-ORDER FRACTIONAL LAPLACIANS: AN OVERVIEW

Autor:	Nicola Abatangelo
Přispěvatelé:	Abatangelo, N
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	QA299.6-433 representation formulas Maximum principle positivity preserving property integration by parts formulas representation formula integration by parts formula unique continuation Analysis
Zdroj:	Bruno Pini Mathematical Analysis Seminar, Vol 12, Iss 1, Pp 53-80 (2022)
Popis:	We summarize some of the most recent results regarding the theory of higher-order fractional Laplacians, i.e., the operators obtained by considering (non-integer) powers greater than 1 of the Laplace operator. These can also be viewed as the nonlocal counterparts of polylaplacians. In this context, nonlocality meets polyharmonicity and together they pose new challenges, producing at the same time surprising and complex structures. As our aim is to give a fairly general idea of the state of the art, we try to keep the presentation concise and reader friendly, by carefully avoiding technical complications and by pointing out the relevant references. Hopefully this contribution will serve as a useful introduction to this fascinating topic. Bruno Pini Mathematical Analysis Seminar, Vol. 12 No. 1 (2021)
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fb7fac31073ad194d651b6605063f8a http://hdl.handle.net/11585/862301 Zobrazit plný text záznamu