Integral representation of solutions to higher-order fractional Dirichlet problems on balls

DOI10.1142/S0219199718500025zbMath1404.35094arXiv1707.03603OpenAlexW2735378739MaRDI QIDQ4562085

Alberto Saldaña, Nicola Abatangelo, Sven Jarohs

Publication date: 17 December 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03603

zbMATH Keywords

explicit solutionstrace operatorfractional Laplaciansrepresentation formulasAlmansi's formulahigher-order fractional Hopf lemmasign-changing Green functions

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Integral representations of solutions to PDEs (35C15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

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