Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces

Alberto Enciso; Bruno Vergara; Mar\'ia del Mar Gonz\'alez

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Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces

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arxiv 1607.04390 v1 pith:3HTB7LTC submitted 2016-07-15 math.AP

Alberto Enciso , María del Mar González , Bruno Vergara This is my paper · ORCID

classification math.AP

keywords anti-dedirichlet-to-neumannfractionaloperatorsitterwaveappearedassociated

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We show that the fractional wave operator, which is usually studied in the context of hypersingular integrals but had not yet appeared in mathematical physics, can be constructed as the Dirichlet-to-Neumann map associated with the Klein-Gordon equation in anti-de Sitter spacetimes. Several generalizations of this relation will be discussed too.

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