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• W1994733847 abstract "Motivated by recent developments in cosmology and string theory, we introduce a functional calculus appropriate for the study of non-linear nonlocal equations of the form f(Δ)u = U(x, u(x)) on Euclidean space. We prove that under some technical assumptions, these equations admit smooth solutions. We also consider nonlocal equations on compact Riemannian manifolds, and we prove the existence of smooth solutions. Moreover, in the Euclidean case we present conditions on f which guarantee that the solutions we find are, in fact, real-analytic." @default.
• W1994733847 created "2016-06-24" @default.
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• W1994733847 date "2012-09-23" @default.
• W1994733847 modified "2023-10-05" @default.
• W1994733847 title "On a General Class of Nonlocal Equations" @default.
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• W1994733847 doi "https://doi.org/10.1007/s00023-012-0202-z" @default.
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