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arXiv · 1607.04390

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

Alberto Enciso·María del Mar González·Bruno Vergara
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Abstract

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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Alberto Enciso, María del Mar González, Bruno Vergara. 2016-07-15. Fractional powers of the wave operator via Dirichlet-to-Neumann maps in anti-de Sitter spaces. https://arxiv.org/abs/1607.04390

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