On a nonlinear equation unsolved with respect to the levy laplacian
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.
KeywordsHilbert Space Nonlinear Equation Elliptic Equation Unit Ball Dirichlet Problem
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