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On a nonlinear equation unsolved with respect to the levy laplacian

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Abstract

We propose a method for the solution of the nonlinear equationf(U(x),ΔU(x))=F(x) (Δ L is an infinite-dimensional Laplacian, Δ L U(x)=γ, γ≠0) unsolved with respect to the infinite-dimensional Laplacian, and for the solution of the Dirichlet problem for this equation.

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References

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Authors
  1. M. N. Feller
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Feller, M.N. On a nonlinear equation unsolved with respect to the levy laplacian. Ukr Math J 48, 805–808 (1996). https://doi.org/10.1007/BF02384231

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  • DOI: https://doi.org/10.1007/BF02384231

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